102936960 has 512 divisors, whose sum is σ = 446515200. Its totient is φ = 21897216.

The previous prime is 102936959. The next prime is 102936973. The reversal of 102936960 is 69639201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2782062 + ... + 2782098.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 2^102936960 is an apocalyptic number.

102936960 is a gapful number since it is divisible by the number (10) 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 102936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223257600).

102936960 is an abundant number, since it is smaller than the sum of its proper divisors (343578240).

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

102936960 is a wasteful number, since it uses less digits than its factorization.

102936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 102936960 is about 10145.7853318509. The cubic root of 102936960 is about 468.6591631983.

The spelling of 102936960 in words is "one hundred two million, nine hundred thirty-six thousand, nine hundred sixty".