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106047381 = 31122914033
BaseRepresentation
bin1100101001000…
…10011110010101
321101112202122210
412110202132111
5204122004011
614304544033
72425250016
oct624423625
9241482583
10106047381
1154951a70
122b622019
1318c8023b
141012700d
15949b6a6
hex6522795

106047381 has 16 divisors (see below), whose sum is σ = 154935360. Its totient is φ = 63985920.

The previous prime is 106047371. The next prime is 106047391. The reversal of 106047381 is 183740601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106047371) and next prime (106047391).

It is not a de Polignac number, because 106047381 - 25 = 106047349 is a prime.

It is a super-2 number, since 2×1060473812 = 22492094033918322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106047371) 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 15 ways as a sum of consecutive naturals, for example, 541 + ... + 14573.

It is an arithmetic number, because the mean of its divisors is an integer number (9683460).

Almost surely, 2106047381 is an apocalyptic number.

106047381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106047381 is a deficient number, since it is larger than the sum of its proper divisors (48887979).

106047381 is a wasteful number, since it uses less digits than its factorization.

106047381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14276.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106047381 is about 10297.9309086826. The cubic root of 106047381 is about 473.3328532143.

Adding to 106047381 its reverse (183740601), we get a palindrome (289787982).

The spelling of 106047381 in words is "one hundred six million, forty-seven thousand, three hundred eighty-one".

Divisors: 1 3 11 33 229 687 2519 7557 14033 42099 154363 463089 3213557 9640671 35349127 106047381