100379158723600 has 45 divisors (see below), whose sum is σ = 241161410244477. Its totient is φ = 40151583337920.

The previous prime is 100379158723561. The next prime is 100379158723603. The reversal of 100379158723600 is 6327851973001.

The square root of 100379158723600 is 10018940.

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., 36136497140496 + 64242661583104 = 6011364^2 + 8015152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100379158723603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 200128327 + ... + 200629273.

Almost surely, 2^{100379158723600} is an apocalyptic number.

100379158723600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100379158723600 is the 10018940-th square number.

It is an amenable number.

100379158723600 is an abundant number, since it is smaller than the sum of its proper divisors (140782251520877).

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

100379158723600 is an frugal number, since it uses more digits than its factorization.

100379158723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001912 (or 500954 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 100379158723600 in words is "one hundred trillion, three hundred seventy-nine billion, one hundred fifty-eight million, seven hundred twenty-three thousand, six hundred".