100885243014164 has 48 divisors (see below), whose sum is σ = 207329960678400. Its totient is φ = 42046414675200.

The previous prime is 100885243014161. The next prime is 100885243014191. The reversal of 100885243014164 is 461410342588001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100885243014161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22935089 + ... + 26977560.

It is an arithmetic number, because the mean of its divisors is an integer number (4319374180800).

Almost surely, 2^{100885243014164} is an apocalyptic number.

100885243014164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100885243014164 is an abundant number, since it is smaller than the sum of its proper divisors (106444717664236).

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

100885243014164 is a wasteful number, since it uses less digits than its factorization.

100885243014164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49914648 (or 49914646 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 100885243014164 in words is "one hundred trillion, eight hundred eighty-five billion, two hundred forty-three million, fourteen thousand, one hundred sixty-four".