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104056900 = 22521815749
BaseRepresentation
bin1100011001111…
…00100001000100
321020210122020021
412030330201010
5203114310100
614154144524
72402316613
oct614744104
9236718207
10104056900
1153812542
122aa22144
131873423c
14db6987a
159206a1a
hex633c844

104056900 has 36 divisors (see below), whose sum is σ = 227090500. Its totient is φ = 41385600.

The previous prime is 104056891. The next prime is 104056907. The reversal of 104056900 is 9650401.

It can be written as a sum of positive squares in 6 ways, for example, as 54523456 + 49533444 = 7384^2 + 7038^2 .

It is a super-2 number, since 2×1040569002 = 21655676875220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104056907) by changing a digit.

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, 15226 + ... + 20974.

Almost surely, 2104056900 is an apocalyptic number.

104056900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104056900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113545250).

104056900 is an abundant number, since it is smaller than the sum of its proper divisors (123033600).

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

104056900 is a wasteful number, since it uses less digits than its factorization.

104056900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 104056900 is about 10200.8283977332. The cubic root of 104056900 is about 470.3526853335.

The spelling of 104056900 in words is "one hundred four million, fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 5749 9050 11498 18100 22996 28745 57490 114980 143725 287450 574900 1040569 2081138 4162276 5202845 10405690 20811380 26014225 52028450 104056900