102185538 has 128 divisors (see below), whose sum is σ = 271434240. Its totient is φ = 24883200.

The previous prime is 102185509. The next prime is 102185557. The reversal of 102185538 is 835581201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102185499 and 102185508.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937428 + ... + 937536.

It is an arithmetic number, because the mean of its divisors is an integer number (2120580).

Almost surely, 2^102185538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102185538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).

102185538 is an abundant number, since it is smaller than the sum of its proper divisors (169248702).

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

102185538 is a wasteful number, since it uses less digits than its factorization.

102185538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252.

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 102185538 is about 10108.6862647923. The cubic root of 102185538 is about 467.5160001006.

The spelling of 102185538 in words is "one hundred two million, one hundred eighty-five thousand, five hundred thirty-eight".