100005610611000 has 128 divisors (see below), whose sum is σ = 312020948828160. Its totient is φ = 26667868496000.

The previous prime is 100005610610963. The next prime is 100005610611017. The reversal of 100005610611000 is 116016500001.

It is a super-2 number, since 2×100005610611000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484309777 + ... + 484516223.

It is an arithmetic number, because the mean of its divisors is an integer number (2437663662720).

Almost surely, 2^{100005610611000} is an apocalyptic number.

100005610611000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100005610611000 is an abundant number, since it is smaller than the sum of its proper divisors (212015338217160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100005610611000 is a wasteful number, since it uses less digits than its factorization.

100005610611000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367942 (or 367928 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 100005610611000 in words is "one hundred trillion, five billion, six hundred ten million, six hundred eleven thousand".