100201872 has 20 divisors (see below), whose sum is σ = 258854960. Its totient is φ = 33400608.

The previous prime is 100201841. The next prime is 100201879. The reversal of 100201872 is 278102001.

It is not an unprimeable number, because it can be changed into a prime (100201879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1043722 + ... + 1043817.

It is an arithmetic number, because the mean of its divisors is an integer number (12942748).

Almost surely, 2^100201872 is an apocalyptic number.

100201872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201872 is an abundant number, since it is smaller than the sum of its proper divisors (158653088).

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

100201872 is a wasteful number, since it uses less digits than its factorization.

100201872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087550 (or 2087544 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 100201872 is about 10010.0885110972. The cubic root of 100201872 is about 464.4710090310.

Adding to 100201872 its reverse (278102001), we get a palindrome (378303873).

The spelling of 100201872 in words is "one hundred million, two hundred one thousand, eight hundred seventy-two".