100561655264 has 96 divisors (see below), whose sum is σ = 229207781376. Its totient is φ = 42538083840.

The previous prime is 100561655261. The next prime is 100561655273. The reversal of 100561655264 is 462556165001.

It is a super-2 number, since 2×100561655264² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100561655261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27346994 + ... + 27350670.

It is an arithmetic number, because the mean of its divisors is an integer number (2387581056).

Almost surely, 2^100561655264 is an apocalyptic number.

100561655264 is a gapful number since it is divisible by the number (14) 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 100561655264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114603890688).

100561655264 is an abundant number, since it is smaller than the sum of its proper divisors (128646126112).

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

100561655264 is a wasteful number, since it uses less digits than its factorization.

100561655264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 100561655264 in words is "one hundred billion, five hundred sixty-one million, six hundred fifty-five thousand, two hundred sixty-four".