100415536513457 has 32 divisors (see below), whose sum is σ = 110179503203328. Its totient is φ = 90759299400000.

The previous prime is 100415536513441. The next prime is 100415536513459. The reversal of 100415536513457 is 754315635514001.

It is not a de Polignac number, because 100415536513457 - 2⁴ = 100415536513441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100415536513459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2131443332 + ... + 2131490442.

It is an arithmetic number, because the mean of its divisors is an integer number (3443109475104).

Almost surely, 2^{100415536513457} is an apocalyptic number.

It is an amenable number.

100415536513457 is a deficient number, since it is larger than the sum of its proper divisors (9763966689871).

100415536513457 is a wasteful number, since it uses less digits than its factorization.

100415536513457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49061.

The product of its (nonzero) digits is 3780000, while the sum is 50.

The spelling of 100415536513457 in words is "one hundred trillion, four hundred fifteen billion, five hundred thirty-six million, five hundred thirteen thousand, four hundred fifty-seven".