10117980 has 96 divisors (see below), whose sum is σ = 32316480. Its totient is φ = 2626560.

The previous prime is 10117957. The next prime is 10117993. The reversal of 10117980 is 8971101.

10117980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21912 + ... + 22368.

It is an arithmetic number, because the mean of its divisors is an integer number (336630).

Almost surely, 2^10117980 is an apocalyptic number.

10117980 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 10117980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158240).

10117980 is an abundant number, since it is smaller than the sum of its proper divisors (22198500).

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

10117980 is a wasteful number, since it uses less digits than its factorization.

10117980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 10117980 is about 3180.8772374928. The cubic root of 10117980 is about 216.2874260015.

It can be divided in two parts, 101 and 17980, that added together give a palindrome (18081).

The spelling of 10117980 in words is "ten million, one hundred seventeen thousand, nine hundred eighty".