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106158912 = 263719769
BaseRepresentation
bin1100101001111…
…01101101000000
321101202102122120
412110331231000
5204134041122
614311204240
72426223126
oct624755500
9241672576
10106158912
1154a18842
122b676680
1318cbbc32
1410155916
1594be75c
hex653db40

106158912 has 56 divisors (see below), whose sum is σ = 281635200. Its totient is φ = 35291136.

The previous prime is 106158901. The next prime is 106158929. The reversal of 106158912 is 219851601.

It is a super-2 number, since 2×1061589122 = 22539429194047488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 137664 + ... + 138432.

It is an arithmetic number, because the mean of its divisors is an integer number (5029200).

Almost surely, 2106158912 is an apocalyptic number.

106158912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106158912 is an abundant number, since it is smaller than the sum of its proper divisors (175476288).

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

106158912 is an equidigital number, since it uses as much as digits as its factorization.

106158912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 106158912 is about 10303.3446996594. The cubic root of 106158912 is about 473.4987312389.

It can be divided in two parts, 1061589 and 12, that added together give a palindrome (1061601).

The spelling of 106158912 in words is "one hundred six million, one hundred fifty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 719 769 1438 1538 2157 2307 2876 3076 4314 4614 5752 6152 8628 9228 11504 12304 17256 18456 23008 24608 34512 36912 46016 49216 69024 73824 138048 147648 552911 1105822 1658733 2211644 3317466 4423288 6634932 8846576 13269864 17693152 26539728 35386304 53079456 106158912