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102377106 = 23213437509
BaseRepresentation
bin1100001101000…
…10011010010010
321010122021222200
412012202122102
5202202031411
614054144030
72352122346
oct606423222
9233567880
10102377106
1152875487
122a352016
1318296790
14d84d626
158ec3e56
hex61a2692

102377106 has 24 divisors (see below), whose sum is σ = 238880460. Its totient is φ = 31500576.

The previous prime is 102377089. The next prime is 102377129. The reversal of 102377106 is 601773201.

It can be written as a sum of positive squares in 2 ways, for example, as 100100025 + 2277081 = 10005^2 + 1509^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102377106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218521 + ... + 218988.

Almost surely, 2102377106 is an apocalyptic number.

102377106 is an abundant number, since it is smaller than the sum of its proper divisors (136503354).

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

102377106 is a wasteful number, since it uses less digits than its factorization.

102377106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437530 (or 437527 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 102377106 is about 10118.1572432929. The cubic root of 102377106 is about 467.8079696497.

The spelling of 102377106 in words is "one hundred two million, three hundred seventy-seven thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 437509 875018 1312527 2625054 3937581 5687617 7875162 11375234 17062851 34125702 51188553 102377106