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102378125 = 551812
BaseRepresentation
bin1100001101000…
…10101010001101
321010122100101102
412012202222031
5202202100000
614054152445
72352125333
oct606425215
9233570342
10102378125
1152876223
122a352725
1318297095
14d84db53
158ec43d5
hex61a2a8d

102378125 has 18 divisors (see below), whose sum is σ = 128675358. Its totient is φ = 81450000.

The previous prime is 102378071. The next prime is 102378127. The reversal of 102378125 is 521873201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 65642404 + 36735721 = 8102^2 + 6061^2 .

It is not a de Polignac number, because 102378125 - 212 = 102374029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102378127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 565535 + ... + 565715.

It is an arithmetic number, because the mean of its divisors is an integer number (7148631).

Almost surely, 2102378125 is an apocalyptic number.

It is an amenable number.

102378125 is a deficient number, since it is larger than the sum of its proper divisors (26297233).

102378125 is an frugal number, since it uses more digits than its factorization.

102378125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 102378125 is about 10118.2075981865. The cubic root of 102378125 is about 467.8095217374.

The spelling of 102378125 in words is "one hundred two million, three hundred seventy-eight thousand, one hundred twenty-five".

Divisors: 1 5 25 125 181 625 905 3125 4525 22625 32761 113125 163805 565625 819025 4095125 20475625 102378125