102627952 has 60 divisors (see below), whose sum is σ = 234374880. Its totient is φ = 43400448.

The previous prime is 102627937. The next prime is 102627989. The reversal of 102627952 is 259726201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61108 + ... + 62764.

It is an arithmetic number, because the mean of its divisors is an integer number (3906248).

Almost surely, 2^102627952 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 102627952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117187440).

102627952 is an abundant number, since it is smaller than the sum of its proper divisors (131746928).

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

102627952 is a wasteful number, since it uses less digits than its factorization.

102627952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 102627952 is about 10130.5454937037. The cubic root of 102627952 is about 468.1897348390.

The spelling of 102627952 in words is "one hundred two million, six hundred twenty-seven thousand, nine hundred fifty-two".