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100979125 = 531362141
BaseRepresentation
bin1100000010011…
…01000110110101
321001000021022121
412001031012311
5201322313000
614004155541
72334210532
oct601150665
9231007277
10100979125
1152000125
1229998bb1
1317bc7380
14d5a7d89
158ce9b1a
hex604d1b5

100979125 has 16 divisors (see below), whose sum is σ = 135718128. Its totient is φ = 74568000.

The previous prime is 100979107. The next prime is 100979147. The reversal of 100979125 is 521979001.

It can be written as a sum of positive squares in 8 ways, for example, as 31606884 + 69372241 = 5622^2 + 8329^2 .

It is not a de Polignac number, because 100979125 - 221 = 98881973 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29446 + ... + 32695.

It is an arithmetic number, because the mean of its divisors is an integer number (8482383).

Almost surely, 2100979125 is an apocalyptic number.

It is an amenable number.

100979125 is a deficient number, since it is larger than the sum of its proper divisors (34739003).

100979125 is an equidigital number, since it uses as much as digits as its factorization.

100979125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62169 (or 62159 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 100979125 is about 10048.8369973843. The cubic root of 100979125 is about 465.6688643870.

The spelling of 100979125 in words is "one hundred million, nine hundred seventy-nine thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 62141 310705 807833 1553525 4039165 7767625 20195825 100979125