100422516096 has 1152 divisors, whose sum is σ = 385817040000. Its totient is φ = 25559525376.

The previous prime is 100422516023. The next prime is 100422516143. The reversal of 100422516096 is 690615224001.

100422516096 is a `hidden beast` number, since 1 + 0 + 0 + 42 + 2 + 5 + 1 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 100422516096.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1702076515 + ... + 1702076573.

It is an arithmetic number, because the mean of its divisors is an integer number (334910625).

Almost surely, 2^100422516096 is an apocalyptic number.

100422516096 is a gapful number since it is divisible by the number (16) 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 100422516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192908520000).

100422516096 is an abundant number, since it is smaller than the sum of its proper divisors (285394523904).

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

100422516096 is a wasteful number, since it uses less digits than its factorization.

100422516096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 100422516096 in words is "one hundred billion, four hundred twenty-two million, five hundred sixteen thousand, ninety-six".