102252834 has 32 divisors (see below), whose sum is σ = 228642240. Its totient is φ = 33872256.

The previous prime is 102252833. The next prime is 102252853. The reversal of 102252834 is 438252201.

102252834 is a `hidden beast` number, since 102 + 2 + 528 + 34 = 666.

It is a super-2 number, since 2×102252834² = 20911284122063112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102252798 and 102252807.

It is not an unprimeable number, because it can be changed into a prime (102252833) 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, 2994 + ... + 14610.

It is an arithmetic number, because the mean of its divisors is an integer number (7145070).

Almost surely, 2^102252834 is an apocalyptic number.

102252834 is an abundant number, since it is smaller than the sum of its proper divisors (126389406).

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

102252834 is a wasteful number, since it uses less digits than its factorization.

102252834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11791 (or 11785 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 102252834 is about 10112.0143393886. The cubic root of 102252834 is about 467.6186077470.

The spelling of 102252834 in words is "one hundred two million, two hundred fifty-two thousand, eight hundred thirty-four".