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102617645 = 5132121441
BaseRepresentation
bin1100001110111…
…01001000101101
321011002111221112
412013131020231
5202232231040
614103241405
72354143544
oct607351055
9234074845
10102617645
1152a1a179
122a449265
131834c100
14d8b315b
159020365
hex61dd22d

102617645 has 12 divisors (see below), whose sum is σ = 133343316. Its totient is φ = 75778560.

The previous prime is 102617639. The next prime is 102617681. The reversal of 102617645 is 546716201.

It can be written as a sum of positive squares in 6 ways, for example, as 11930116 + 90687529 = 3454^2 + 9523^2 .

It is a de Polignac number, because none of the positive numbers 2k-102617645 is a prime.

It is a super-3 number, since 3×1026176453 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59876 + ... + 61565.

It is an arithmetic number, because the mean of its divisors is an integer number (11111943).

Almost surely, 2102617645 is an apocalyptic number.

It is an amenable number.

102617645 is a deficient number, since it is larger than the sum of its proper divisors (30725671).

102617645 is a wasteful number, since it uses less digits than its factorization.

102617645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121472 (or 121459 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 102617645 is about 10130.0367718977. The cubic root of 102617645 is about 468.1740607689.

The spelling of 102617645 in words is "one hundred two million, six hundred seventeen thousand, six hundred forty-five".

Divisors: 1 5 13 65 169 845 121441 607205 1578733 7893665 20523529 102617645