102135129 has 16 divisors (see below), whose sum is σ = 141136320. Its totient is φ = 65620800.

The previous prime is 102135119. The next prime is 102135193. The reversal of 102135129 is 921531201.

It is not a de Polignac number, because 102135129 - 2⁴ = 102135113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102135099 and 102135108.

It is not an unprimeable number, because it can be changed into a prime (102135119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90879 + ... + 91995.

It is an arithmetic number, because the mean of its divisors is an integer number (8821020).

Almost surely, 2^102135129 is an apocalyptic number.

It is an amenable number.

102135129 is a deficient number, since it is larger than the sum of its proper divisors (39001191).

102135129 is a wasteful number, since it uses less digits than its factorization.

102135129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 102135129 is about 10106.1926065161. The cubic root of 102135129 is about 467.4391109085.

The spelling of 102135129 in words is "one hundred two million, one hundred thirty-five thousand, one hundred twenty-nine".