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104972100 = 22352349907
BaseRepresentation
bin1100100000110…
…11111101000100
321022112010122120
412100123331010
5203333101400
614225525540
72413151052
oct620337504
9238463576
10104972100
1154288102
122b1a38b0
131899498c
14dd271d2
159337ca0
hex641bf44

104972100 has 36 divisors (see below), whose sum is σ = 303720144. Its totient is φ = 27992480.

The previous prime is 104972099. The next prime is 104972113. The reversal of 104972100 is 1279401.

It is a super-2 number, since 2×1049721002 = 22038283556820000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 174654 + ... + 175253.

Almost surely, 2104972100 is an apocalyptic number.

104972100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104972100 is an abundant number, since it is smaller than the sum of its proper divisors (198748044).

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

104972100 is a wasteful number, since it uses less digits than its factorization.

104972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349924 (or 349917 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 104972100 is about 10245.5892949112. The cubic root of 104972100 is about 471.7276090406.

The spelling of 104972100 in words is "one hundred four million, nine hundred seventy-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 349907 699814 1049721 1399628 1749535 2099442 3499070 4198884 5248605 6998140 8747675 10497210 17495350 20994420 26243025 34990700 52486050 104972100