100813870144 has 189 divisors, whose sum is σ = 224947524069. Its totient is φ = 44807293440.

The previous prime is 100813870109. The next prime is 100813870207. The reversal of 100813870144 is 441078318001.

The square root of 100813870144 is 317512.

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., 14913294400 + 85900575744 = 122120^2 + 293088^2 .

It is a super-2 number, since 2×100813870144² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1419913629 + ... + 1419913699.

Almost surely, 2^100813870144 is an apocalyptic number.

100813870144 is the 317512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100813870144

100813870144 is an abundant number, since it is smaller than the sum of its proper divisors (124133653925).

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

100813870144 is an frugal number, since it uses more digits than its factorization.

100813870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 100813870144 in words is "one hundred billion, eight hundred thirteen million, eight hundred seventy thousand, one hundred forty-four".