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102456361 = 7127115249
BaseRepresentation
bin1100001101101…
…01110000101001
321010210022201001
412012311300221
5202212100421
614055555001
72352602410
oct606656051
9233708631
10102456361
1152919a87
122a38ba61
13182c3887
14d870477
158edc691
hex61b5c29

102456361 has 8 divisors (see below), whose sum is σ = 118016000. Its totient is φ = 87127488.

The previous prime is 102456359. The next prime is 102456371. The reversal of 102456361 is 163654201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102456361 - 21 = 102456359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102456301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56736 + ... + 58513.

It is an arithmetic number, because the mean of its divisors is an integer number (14752000).

Almost surely, 2102456361 is an apocalyptic number.

It is an amenable number.

102456361 is a deficient number, since it is larger than the sum of its proper divisors (15559639).

102456361 is a wasteful number, since it uses less digits than its factorization.

102456361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115383.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 102456361 is about 10122.0729596264. The cubic root of 102456361 is about 467.9286559982.

The spelling of 102456361 in words is "one hundred two million, four hundred fifty-six thousand, three hundred sixty-one".

Divisors: 1 7 127 889 115249 806743 14636623 102456361