102522952 has 64 divisors (see below), whose sum is σ = 230169600. Its totient is φ = 41886720.

The previous prime is 102522949. The next prime is 102522977. The reversal of 102522952 is 259225201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 102522952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126324 + ... + 127132.

It is an arithmetic number, because the mean of its divisors is an integer number (3596400).

Almost surely, 2^102522952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102522952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115084800).

102522952 is an abundant number, since it is smaller than the sum of its proper divisors (127646648).

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

102522952 is a wasteful number, since it uses less digits than its factorization.

102522952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 102522952 is about 10125.3618206956. The cubic root of 102522952 is about 468.0300100073.

The spelling of 102522952 in words is "one hundred two million, five hundred twenty-two thousand, nine hundred fifty-two".