100937970 has 96 divisors (see below), whose sum is σ = 305690112. Its totient is φ = 22628736.

The previous prime is 100937923. The next prime is 100937971. The reversal of 100937970 is 79739001.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (100937971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31879 + ... + 34901.

It is an arithmetic number, because the mean of its divisors is an integer number (3184272).

Almost surely, 2^100937970 is an apocalyptic number.

100937970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100937970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845056).

100937970 is an abundant number, since it is smaller than the sum of its proper divisors (204752142).

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

100937970 is a wasteful number, since it uses less digits than its factorization.

100937970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 11907, while the sum is 36.

The square root of 100937970 is about 10046.7890392901. The cubic root of 100937970 is about 465.6055932034.

The spelling of 100937970 in words is "one hundred million, nine hundred thirty-seven thousand, nine hundred seventy".