101875872400 has 45 divisors (see below), whose sum is σ = 244772121001. Its totient is φ = 40747795520.

The previous prime is 101875872377. The next prime is 101875872401. The reversal of 101875872400 is 4278578101.

The square root of 101875872400 is 319180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36675314064 + 65200558336 = 191508^2 + 255344^2 .

It is a super-2 number, since 2×101875872400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101875872401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6375621 + ... + 6391579.

Almost surely, 2^101875872400 is an apocalyptic number.

101875872400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101875872400 is the 319180-th square number.

It is an amenable number.

101875872400 is an abundant number, since it is smaller than the sum of its proper divisors (142896248601).

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

101875872400 is an frugal number, since it uses more digits than its factorization.

101875872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31936 (or 15966 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 43.

The spelling of 101875872400 in words is "one hundred one billion, eight hundred seventy-five million, eight hundred seventy-two thousand, four hundred".