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106004132 = 22135773533
BaseRepresentation
bin1100101000101…
…11111010100100
321101110120022222
412110113322210
5204114113012
614304011512
72425006643
oct624277244
9241416288
10106004132
1154922523
122b600b98
1318c66650
141011535a
15948d972
hex6517ea4

106004132 has 24 divisors (see below), whose sum is σ = 200179896. Its totient is φ = 48826368.

The previous prime is 106004123. The next prime is 106004167. The reversal of 106004132 is 231400601.

It can be written as a sum of positive squares in 4 ways, for example, as 46158436 + 59845696 = 6794^2 + 7736^2 .

It is a super-2 number, since 2×1060041322 = 22473752002146848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106004132.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28238 + ... + 31770.

It is an arithmetic number, because the mean of its divisors is an integer number (8340829).

Almost surely, 2106004132 is an apocalyptic number.

It is an amenable number.

106004132 is a deficient number, since it is larger than the sum of its proper divisors (94175764).

106004132 is a wasteful number, since it uses less digits than its factorization.

106004132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 106004132 is about 10295.8308066906. The cubic root of 106004132 is about 473.2684984705.

Adding to 106004132 its reverse (231400601), we get a palindrome (337404733).

The spelling of 106004132 in words is "one hundred six million, four thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 52 577 1154 2308 3533 7066 7501 14132 15002 30004 45929 91858 183716 2038541 4077082 8154164 26501033 53002066 106004132