102960972 has 36 divisors (see below), whose sum is σ = 271580400. Its totient is φ = 32827872.

The previous prime is 102960947. The next prime is 102960983. The reversal of 102960972 is 279069201.

102960972 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

102960972 is strictly pandigital in base 9.

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, 61347 + ... + 63002.

It is an arithmetic number, because the mean of its divisors is an integer number (7543900).

Almost surely, 2^102960972 is an apocalyptic number.

102960972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102960972 is an abundant number, since it is smaller than the sum of its proper divisors (168619428).

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

102960972 is a wasteful number, since it uses less digits than its factorization.

102960972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124382 (or 124377 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 102960972 is about 10146.9686113637. The cubic root of 102960972 is about 468.6956015806.

It can be divided in two parts, 1029 and 60972, that added together give a square (62001 = 249²).

The spelling of 102960972 in words is "one hundred two million, nine hundred sixty thousand, nine hundred seventy-two".