100576840945152 has 640 divisors, whose sum is σ = 320183621936640. Its totient is φ = 27651686400000.

The previous prime is 100576840945093. The next prime is 100576840945157. The reversal of 100576840945152 is 251549048675001.

100576840945152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100576840945092 and 100576840945101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100576840945157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30937199527 + ... + 30937202777.

It is an arithmetic number, because the mean of its divisors is an integer number (500286909276).

Almost surely, 2^{100576840945152} is an apocalyptic number.

100576840945152 is a gapful number since it is divisible by the number (12) 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 100576840945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160091810968320).

100576840945152 is an abundant number, since it is smaller than the sum of its proper divisors (219606780991488).

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

100576840945152 is a wasteful number, since it uses less digits than its factorization.

100576840945152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 57.

The spelling of 100576840945152 in words is "one hundred trillion, five hundred seventy-six billion, eight hundred forty million, nine hundred forty-five thousand, one hundred fifty-two".