100005610617 has 96 divisors (see below), whose sum is σ = 164655369216. Its totient is φ = 57952540800.

The previous prime is 100005610571. The next prime is 100005610637. The reversal of 100005610617 is 716016500001.

It is not a de Polignac number, because 100005610617 - 2¹⁵ = 100005577849 is a prime.

It is a super-2 number, since 2×100005610617² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100005610637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146420758 + ... + 146421440.

It is an arithmetic number, because the mean of its divisors is an integer number (1715160096).

Almost surely, 2^100005610617 is an apocalyptic number.

It is an amenable number.

100005610617 is a deficient number, since it is larger than the sum of its proper divisors (64649758599).

100005610617 is a wasteful number, since it uses less digits than its factorization.

100005610617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 100005610617 in words is "one hundred billion, five million, six hundred ten thousand, six hundred seventeen".