102252132 has 30 divisors (see below), whose sum is σ = 267308118. Its totient is φ = 34083936.

The previous prime is 102252131. The next prime is 102252179. The reversal of 102252132 is 231252201.

It can be written as a sum of positive squares in only one way, i.e., 96943716 + 5308416 = 9846^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102252131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 157473 + ... + 158120.

Almost surely, 2^102252132 is an apocalyptic number.

102252132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102252132 is an abundant number, since it is smaller than the sum of its proper divisors (165055986).

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

102252132 is a wasteful number, since it uses less digits than its factorization.

102252132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315609 (or 315598 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102252132 is about 10111.9796281440. The cubic root of 102252132 is about 467.6175376251.

Adding to 102252132 its sum of digits (18), we get a triangular number (102252150 = T₁₄₃₀₀).

The spelling of 102252132 in words is "one hundred two million, two hundred fifty-two thousand, one hundred thirty-two".