102907289128329 has 75 divisors (see below), whose sum is σ = 179343779686973. Its totient is φ = 58801608846792.

The previous prime is 102907289128327. The next prime is 102907289128333. The reversal of 102907289128329 is 923821982709201.

The square root of 102907289128329 is 10144323.

It is a perfect power (a square), and thus also a powerful number.

102907289128329 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 0 + 7 + 289 + 1 + 28 + 329 = 666.

It is not a de Polignac number, because 102907289128329 - 2¹ = 102907289128327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102907289128327) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 4473634942 + ... + 4473657944.

Almost surely, 2^{102907289128329} is an apocalyptic number.

102907289128329 is the 10144323-rd square number.

102907289128329 is the 5072162-nd centered octagonal number.

It is an amenable number.

102907289128329 is a deficient number, since it is larger than the sum of its proper divisors (76436490558644).

102907289128329 is an frugal number, since it uses more digits than its factorization.

102907289128329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46046 (or 23013 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 102907289128329 in words is "one hundred two trillion, nine hundred seven billion, two hundred eighty-nine million, one hundred twenty-eight thousand, three hundred twenty-nine".