100091584117047 has 32 divisors (see below), whose sum is σ = 139365283235328. Its totient is φ = 63777288814976.

The previous prime is 100091584116949. The next prime is 100091584117069. The reversal of 100091584117047 is 740711485190001.

It is a cyclic number.

It is not a de Polignac number, because 100091584117047 - 2¹⁴ = 100091584100663 is a prime.

It is a super-2 number, since 2×100091584117047² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100091584116987 and 100091584117005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100091584117097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142723788 + ... + 1142811374.

It is an arithmetic number, because the mean of its divisors is an integer number (4355165101104).

Almost surely, 2^{100091584117047} is an apocalyptic number.

100091584117047 is a deficient number, since it is larger than the sum of its proper divisors (39273699118281).

100091584117047 is a wasteful number, since it uses less digits than its factorization.

100091584117047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100199.

The product of its (nonzero) digits is 282240, while the sum is 48.

The spelling of 100091584117047 in words is "one hundred trillion, ninety-one billion, five hundred eighty-four million, one hundred seventeen thousand, forty-seven".