102475129 has 9 divisors (see below), whose sum is σ = 104994799. Its totient is φ = 100015240.

The previous prime is 102475117. The next prime is 102475171. The reversal of 102475129 is 921574201.

The square root of 102475129 is 10123.

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

It can be written as a sum of positive squares in only one way, i.e., 73874025 + 28601104 = 8595^2 + 5348^2 .

It is not a de Polignac number, because 102475129 - 2⁷ = 102475001 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 102475129.

It is not an unprimeable number, because it can be changed into a prime (102475199) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 536424 + ... + 536614.

Almost surely, 2^102475129 is an apocalyptic number.

102475129 is the 10123-rd square number.

102475129 is the 5062-nd centered octagonal number.

It is an amenable number.

102475129 is a deficient number, since it is larger than the sum of its proper divisors (2519670).

102475129 is an frugal number, since it uses more digits than its factorization.

102475129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The cubic root of 102475129 is about 467.9572260442.

It can be divided in two parts, 10247 and 5129, that added together give a square (15376 = 124²).

The spelling of 102475129 in words is "one hundred two million, four hundred seventy-five thousand, one hundred twenty-nine".