100701105320 has 32 divisors (see below), whose sum is σ = 232103770920. Its totient is φ = 39297991680.

The previous prime is 100701105311. The next prime is 100701105331. The reversal of 100701105320 is 23501107001.

100701105320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 83101899076 + 17599206244 = 288274^2 + 132662^2 .

It is a super-2 number, since 2×100701105320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100701105292 and 100701105301.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30699917 + ... + 30703196.

Almost surely, 2^100701105320 is an apocalyptic number.

100701105320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100701105320 is an abundant number, since it is smaller than the sum of its proper divisors (131402665600).

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

100701105320 is a wasteful number, since it uses less digits than its factorization.

100701105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61403165 (or 61403161 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The spelling of 100701105320 in words is "one hundred billion, seven hundred one million, one hundred five thousand, three hundred twenty".