100711616423745 has 128 divisors (see below), whose sum is σ = 166173241927680. Its totient is φ = 52065269544960.

The previous prime is 100711616423729. The next prime is 100711616423773. The reversal of 100711616423745 is 547324616117001.

It is not a de Polignac number, because 100711616423745 - 2⁴ = 100711616423729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100711616423694 and 100711616423703.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39949073085 + ... + 39949075605.

It is an arithmetic number, because the mean of its divisors is an integer number (1298228452560).

Almost surely, 2^{100711616423745} is an apocalyptic number.

100711616423745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100711616423745 is a deficient number, since it is larger than the sum of its proper divisors (65461625503935).

100711616423745 is a wasteful number, since it uses less digits than its factorization.

100711616423745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 100711616423745 in words is "one hundred trillion, seven hundred eleven billion, six hundred sixteen million, four hundred twenty-three thousand, seven hundred forty-five".