100937920 has 56 divisors (see below), whose sum is σ = 244345968. Its totient is φ = 39705600.

The previous prime is 100937897. The next prime is 100937923. The reversal of 100937920 is 29739001.

It is not an unprimeable number, because it can be changed into a prime (100937923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16935 + ... + 22105.

Almost surely, 2^100937920 is an apocalyptic number.

100937920 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 100937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122172984).

100937920 is an abundant number, since it is smaller than the sum of its proper divisors (143408048).

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

100937920 is an equidigital number, since it uses as much as digits as its factorization.

100937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 100937920 is about 10046.7865509326. The cubic root of 100937920 is about 465.6055163236.

The spelling of 100937920 in words is "one hundred million, nine hundred thirty-seven thousand, nine hundred twenty".