100561645440 has 192 divisors, whose sum is σ = 347420221200. Its totient is φ = 26803445760.

The previous prime is 100561645417. The next prime is 100561645523. The reversal of 100561645440 is 44546165001.

100561645440 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 6 + 1 + 645 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×100561645440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100561645395 and 100561645404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20566516 + ... + 20571404.

Almost surely, 2^100561645440 is an apocalyptic number.

100561645440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100561645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173710110600).

100561645440 is an abundant number, since it is smaller than the sum of its proper divisors (246858575760).

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

100561645440 is a wasteful number, since it uses less digits than its factorization.

100561645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8485 (or 8470 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 100561645440 in words is "one hundred billion, five hundred sixty-one million, six hundred forty-five thousand, four hundred forty".