100091584117049 has 64 divisors (see below), whose sum is σ = 118071717120000. Its totient is φ = 83090202624000.

The previous prime is 100091584116949. The next prime is 100091584117069. The reversal of 100091584117049 is 940711485190001.

It is a cyclic number.

It is not a de Polignac number, because 100091584117049 - 2²⁰ = 100091583068473 is a prime.

It is a super-2 number, since 2×100091584117049² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100091584116988 and 100091584117006.

It is not an unprimeable number, because it can be changed into a prime (100091584117069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6255325049 + ... + 6255341049.

It is an arithmetic number, because the mean of its divisors is an integer number (1844870580000).

Almost surely, 2^{100091584117049} is an apocalyptic number.

It is an amenable number.

100091584117049 is a deficient number, since it is larger than the sum of its proper divisors (17980133002951).

100091584117049 is a wasteful number, since it uses less digits than its factorization.

100091584117049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17178.

The product of its (nonzero) digits is 362880, while the sum is 50.

The spelling of 100091584117049 in words is "one hundred trillion, ninety-one billion, five hundred eighty-four million, one hundred seventeen thousand, forty-nine".