100197920 has 48 divisors (see below), whose sum is σ = 238629888. Its totient is φ = 39755520.

The previous prime is 100197907. The next prime is 100197941. The reversal of 100197920 is 29791001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17855 + ... + 22785.

It is an arithmetic number, because the mean of its divisors is an integer number (4971456).

Almost surely, 2^100197920 is an apocalyptic number.

100197920 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 100197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119314944).

100197920 is an abundant number, since it is smaller than the sum of its proper divisors (138431968).

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

100197920 is a wasteful number, since it uses less digits than its factorization.

100197920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 100197920 is about 10009.8911082988. The cubic root of 100197920 is about 464.4649026462.

The spelling of 100197920 in words is "one hundred million, one hundred ninety-seven thousand, nine hundred twenty".