107820972 has 108 divisors (see below), whose sum is σ = 333835320. Its totient is φ = 29175552.

The previous prime is 107820959. The next prime is 107821003. The reversal of 107820972 is 279028701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31908 + ... + 35124.

Almost surely, 2^107820972 is an apocalyptic number.

107820972 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 107820972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166917660).

107820972 is an abundant number, since it is smaller than the sum of its proper divisors (226014348).

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

107820972 is a wasteful number, since it uses less digits than its factorization.

107820972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 107820972 is about 10383.6877842123. The cubic root of 107820972 is about 475.9570318769.

The spelling of 107820972 in words is "one hundred seven million, eight hundred twenty thousand, nine hundred seventy-two".