101044413106560 has 1536 divisors, whose sum is σ = 442880249011200. Its totient is φ = 20620011110400.

The previous prime is 101044413106541. The next prime is 101044413106589. The reversal of 101044413106560 is 65601314440101.

101044413106560 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 44 + 41 + 3 + 10 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5635799676 + ... + 5635817604.

It is an arithmetic number, because the mean of its divisors is an integer number (288333495450).

Almost surely, 2^{101044413106560} is an apocalyptic number.

101044413106560 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 101044413106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221440124505600).

101044413106560 is an abundant number, since it is smaller than the sum of its proper divisors (341835835904640).

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

101044413106560 is a wasteful number, since it uses less digits than its factorization.

101044413106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18200 (or 18185 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 101044413106560 its reverse (65601314440101), we get a palindrome (166645727546661).

The spelling of 101044413106560 in words is "one hundred one trillion, forty-four billion, four hundred thirteen million, one hundred six thousand, five hundred sixty".