100005600611000 has 64 divisors (see below), whose sum is σ = 267443549081280. Its totient is φ = 34287634492800.

The previous prime is 100005600610997. The next prime is 100005600611039. The reversal of 100005600611000 is 116006500001.

It is a happy number.

It is a super-2 number, since 2×100005600611000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7143250187 + ... + 7143264186.

It is an arithmetic number, because the mean of its divisors is an integer number (4178805454395).

Almost surely, 2^{100005600611000} is an apocalyptic number.

100005600611000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100005600611000 is an abundant number, since it is smaller than the sum of its proper divisors (167437948470280).

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

100005600611000 is a wasteful number, since it uses less digits than its factorization.

100005600611000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14286514401 (or 14286514387 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 100005600611000 in words is "one hundred trillion, five billion, six hundred million, six hundred eleven thousand".