102252135 has 32 divisors (see below), whose sum is σ = 171445248. Its totient is φ = 51941120.

The previous prime is 102252131. The next prime is 102252179. The reversal of 102252135 is 531252201.

It is not a de Polignac number, because 102252135 - 2² = 102252131 is a prime.

It is a super-2 number, since 2×102252135² = 20910998224116450, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 106819 + ... + 107771.

It is an arithmetic number, because the mean of its divisors is an integer number (5357664).

Almost surely, 2^102252135 is an apocalyptic number.

102252135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102252135 is a deficient number, since it is larger than the sum of its proper divisors (69193113).

102252135 is a wasteful number, since it uses less digits than its factorization.

102252135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 102252135 is about 10111.9797764829. The cubic root of 102252135 is about 467.6175421983.

The spelling of 102252135 in words is "one hundred two million, two hundred fifty-two thousand, one hundred thirty-five".