100613560320 has 1920 divisors, whose sum is σ = 468825477120. Its totient is φ = 20065812480.

The previous prime is 100613560301. The next prime is 100613560337. The reversal of 100613560320 is 23065316001.

100613560320 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 35 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2339850219 + ... + 2339850261.

It is an arithmetic number, because the mean of its divisors is an integer number (244179936).

Almost surely, 2^100613560320 is an apocalyptic number.

100613560320 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 100613560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234412738560).

100613560320 is an abundant number, since it is smaller than the sum of its proper divisors (368211916800).

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

100613560320 is a wasteful number, since it uses less digits than its factorization.

100613560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 100613560320 its reverse (23065316001), we get a palindrome (123678876321).

The spelling of 100613560320 in words is "one hundred billion, six hundred thirteen million, five hundred sixty thousand, three hundred twenty".