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106255400 = 23522323099
BaseRepresentation
bin1100101010101…
…01010000101000
321101221100000012
412111111100220
5204200133100
614313231052
72430104336
oct625252050
9241840005
10106255400
1154a84289
122b702488
1319023b24
141017cb56
1594dd135
hex6555428

106255400 has 48 divisors (see below), whose sum is σ = 257796000. Its totient is φ = 40652480.

The previous prime is 106255399. The next prime is 106255433. The reversal of 106255400 is 4552601.

It is a super-2 number, since 2×1062554002 = 22580420058320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6950 + ... + 16149.

It is an arithmetic number, because the mean of its divisors is an integer number (5370750).

Almost surely, 2106255400 is an apocalyptic number.

106255400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106255400 is an abundant number, since it is smaller than the sum of its proper divisors (151540600).

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

106255400 is a wasteful number, since it uses less digits than its factorization.

106255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23138 (or 23129 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 106255400 is about 10308.0259991911. The cubic root of 106255400 is about 473.6421423762.

The spelling of 106255400 in words is "one hundred six million, two hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 23099 46198 92396 115495 184792 230990 461980 531277 577475 923960 1062554 1154950 2125108 2309900 2656385 4250216 4619800 5312770 10625540 13281925 21251080 26563850 53127700 106255400