102648952 has 64 divisors (see below), whose sum is σ = 228510720. Its totient is φ = 42311808.

The previous prime is 102648947. The next prime is 102648991. The reversal of 102648952 is 259846201.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221473 + ... + 221935.

It is an arithmetic number, because the mean of its divisors is an integer number (3570480).

Almost surely, 2^102648952 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 102648952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114255360).

102648952 is an abundant number, since it is smaller than the sum of its proper divisors (125861768).

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

102648952 is a wasteful number, since it uses less digits than its factorization.

102648952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 102648952 is about 10131.5819100474. The cubic root of 102648952 is about 468.2216667305.

The spelling of 102648952 in words is "one hundred two million, six hundred forty-eight thousand, nine hundred fifty-two".