102556129 has 27 divisors (see below), whose sum is σ = 120132729. Its totient is φ = 87497280.

The previous prime is 102556127. The next prime is 102556159. The reversal of 102556129 is 921655201.

The square root of 102556129 is 10127.

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

It can be written as a sum of positive squares in 4 ways, for example, as 68310225 + 34245904 = 8265^2 + 5852^2 .

It is not a de Polignac number, because 102556129 - 2¹ = 102556127 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102556129.

It is not an unprimeable number, because it can be changed into a prime (102556123) 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 26 ways as a sum of consecutive naturals, for example, 2501349 + ... + 2501389.

Almost surely, 2^102556129 is an apocalyptic number.

102556129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

102556129 is the 10127-th square number.

102556129 is the 5064-th centered octagonal number.

It is an amenable number.

102556129 is a deficient number, since it is larger than the sum of its proper divisors (17576600).

102556129 is an equidigital number, since it uses as much as digits as its factorization.

102556129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The cubic root of 102556129 is about 468.0804902711.

It can be divided in two parts, 10255 and 6129, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 102556129 in words is "one hundred two million, five hundred fifty-six thousand, one hundred twenty-nine".