100507884805488 has 160 divisors (see below), whose sum is σ = 264685018574592. Its totient is φ = 32856843571200.

The previous prime is 100507884805333. The next prime is 100507884805597. The reversal of 100507884805488 is 884508488705001.

It is a super-3 number, since 3×100507884805488³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3296297923 + ... + 3296328413.

Almost surely, 2^{100507884805488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100507884805488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132342509287296).

100507884805488 is an abundant number, since it is smaller than the sum of its proper divisors (164177133769104).

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

100507884805488 is a wasteful number, since it uses less digits than its factorization.

100507884805488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35063 (or 35057 counting only the distinct ones).

The product of its (nonzero) digits is 91750400, while the sum is 66.

The spelling of 100507884805488 in words is "one hundred trillion, five hundred seven billion, eight hundred eighty-four million, eight hundred five thousand, four hundred eighty-eight".