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106020116 = 22124921221
BaseRepresentation
bin1100101000110…
…11110100010100
321101111101020222
412110123310110
5204120120431
614304213512
72425104356
oct624336424
9241441228
10106020116
1154933534
122b60a298
1318c709c7
141011b0d6
15949357b
hex651bd14

106020116 has 12 divisors (see below), whose sum is σ = 185692500. Its totient is φ = 52965120.

The previous prime is 106020113. The next prime is 106020139. The reversal of 106020116 is 611020601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78499600 + 27520516 = 8860^2 + 5246^2 .

It is a super-2 number, since 2×1060201162 = 22480529993306912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106020094 and 106020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106020113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5615 + ... + 15606.

It is an arithmetic number, because the mean of its divisors is an integer number (15474375).

Almost surely, 2106020116 is an apocalyptic number.

It is an amenable number.

106020116 is a deficient number, since it is larger than the sum of its proper divisors (79672384).

106020116 is a wasteful number, since it uses less digits than its factorization.

106020116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22474 (or 22472 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 106020116 is about 10296.6070139634. The cubic root of 106020116 is about 473.2922847869.

Adding to 106020116 its reverse (611020601), we get a palindrome (717040717).

It can be divided in two parts, 106020 and 116, that multiplied together give a triangular number (12298320 = T4959).

The spelling of 106020116 in words is "one hundred six million, twenty thousand, one hundred sixteen".

Divisors: 1 2 4 1249 2498 4996 21221 42442 84884 26505029 53010058 106020116