100738200456 has 24 divisors (see below), whose sum is σ = 272832626430. Its totient is φ = 33579400128.

The previous prime is 100738200401. The next prime is 100738200491. The reversal of 100738200456 is 654002837001.

It can be written as a sum of positive squares in only one way, i.e., 99963468900 + 774731556 = 316170^2 + 27834^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×100738200456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100738200456.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 699570765 + ... + 699570908.

Almost surely, 2^100738200456 is an apocalyptic number.

It is an amenable number.

100738200456 is an abundant number, since it is smaller than the sum of its proper divisors (172094425974).

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

100738200456 is a wasteful number, since it uses less digits than its factorization.

100738200456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399141685 (or 1399141678 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 100738200456 in words is "one hundred billion, seven hundred thirty-eight million, two hundred thousand, four hundred fifty-six".