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106357472 = 2513255667
BaseRepresentation
bin1100101011011…
…10001011100000
321102010112000122
412111232023200
5204211414342
614315335412
72431011044
oct625561340
9242115018
10106357472
1155043a41
122b751568
131905b420
14101a8024
15950d4d2
hex656e2e0

106357472 has 24 divisors (see below), whose sum is σ = 225499176. Its totient is φ = 49087872.

The previous prime is 106357469. The next prime is 106357477. The reversal of 106357472 is 274753601.

It is a super-2 number, since 2×1063574722 = 22623823700461568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106357477) 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, 127418 + ... + 128249.

It is an arithmetic number, because the mean of its divisors is an integer number (9395799).

Almost surely, 2106357472 is an apocalyptic number.

It is an amenable number.

106357472 is an abundant number, since it is smaller than the sum of its proper divisors (119141704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106357472 is a wasteful number, since it uses less digits than its factorization.

106357472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255690 (or 255682 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 106357472 is about 10312.9759041704. The cubic root of 106357472 is about 473.7937586024.

The spelling of 106357472 in words is "one hundred six million, three hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 255667 511334 1022668 2045336 3323671 4090672 6647342 8181344 13294684 26589368 53178736 106357472