100134460604544 has 96 divisors (see below), whose sum is σ = 272627761049520. Its totient is φ = 32564052019200.

The previous prime is 100134460604537. The next prime is 100134460604617. The reversal of 100134460604544 is 445406064431001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×100134460604544³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100134460604496 and 100134460604505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76917502 + ... + 78208509.

Almost surely, 2^{100134460604544} is an apocalyptic number.

It is an amenable number.

100134460604544 is an abundant number, since it is smaller than the sum of its proper divisors (172493300444976).

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

100134460604544 is an equidigital number, since it uses as much as digits as its factorization.

100134460604544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155126110 (or 155126057 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 100134460604544 in words is "one hundred trillion, one hundred thirty-four billion, four hundred sixty million, six hundred four thousand, five hundred forty-four".