102956952 has 128 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 27855360.

The previous prime is 102956951. The next prime is 102956969. The reversal of 102956952 is 259659201.

It is a self number, because there is not a number n which added to its sum of digits gives 102956952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102956951) 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, 275838 + ... + 276210.

It is an arithmetic number, because the mean of its divisors is an integer number (2423520).

Almost surely, 2^102956952 is an apocalyptic number.

102956952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102956952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155105280).

102956952 is an abundant number, since it is smaller than the sum of its proper divisors (207253608).

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

102956952 is a wasteful number, since it uses less digits than its factorization.

102956952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 102956952 is about 10146.7705207125. The cubic root of 102956952 is about 468.6895015967.

The spelling of 102956952 in words is "one hundred two million, nine hundred fifty-six thousand, nine hundred fifty-two".