10116972 has 72 divisors (see below), whose sum is σ = 27623232. Its totient is φ = 3110400.

The previous prime is 10116971. The next prime is 10116973. The reversal of 10116972 is 27961101.

It is an interprime number because it is at equal distance from previous prime (10116971) and next prime (10116973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37197 + ... + 37467.

It is an arithmetic number, because the mean of its divisors is an integer number (383656).

Almost surely, 2^10116972 is an apocalyptic number.

10116972 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 10116972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13811616).

10116972 is an abundant number, since it is smaller than the sum of its proper divisors (17506260).

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

10116972 is a wasteful number, since it uses less digits than its factorization.

10116972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 10116972 is about 3180.7187866896. The cubic root of 10116972 is about 216.2802432448.

The spelling of 10116972 in words is "ten million, one hundred sixteen thousand, nine hundred seventy-two".