100535832505920 has 224 divisors, whose sum is σ = 364907303712000. Its totient is φ = 22972950872064.

The previous prime is 100535832505879. The next prime is 100535832505973. The reversal of 100535832505920 is 29505238535001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 100535832505920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21008436 + ... + 25346124.

It is an arithmetic number, because the mean of its divisors is an integer number (1629050463000).

Almost surely, 2^{100535832505920} is an apocalyptic number.

100535832505920 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 100535832505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182453651856000).

100535832505920 is an abundant number, since it is smaller than the sum of its proper divisors (264371471206080).

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

100535832505920 is a wasteful number, since it uses less digits than its factorization.

100535832505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341165 (or 4341155 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 48.

The spelling of 100535832505920 in words is "one hundred trillion, five hundred thirty-five billion, eight hundred thirty-two million, five hundred five thousand, nine hundred twenty".