100935416464 has 80 divisors (see below), whose sum is σ = 207169311744. Its totient is φ = 47540662400.

The previous prime is 100935416453. The next prime is 100935416471. The reversal of 100935416464 is 464614539001.

It is a super-2 number, since 2×100935416464² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100935416464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33520719 + ... + 33523729.

Almost surely, 2^100935416464 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 100935416464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103584655872).

100935416464 is an abundant number, since it is smaller than the sum of its proper divisors (106233895280).

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

100935416464 is a wasteful number, since it uses less digits than its factorization.

100935416464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 100935416464 in words is "one hundred billion, nine hundred thirty-five million, four hundred sixteen thousand, four hundred sixty-four".