100746871148144 has 80 divisors (see below), whose sum is σ = 212300447839200. Its totient is φ = 46036674124800.

The previous prime is 100746871148071. The next prime is 100746871148171. The reversal of 100746871148144 is 441841178647001.

100746871148144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100746871148144² (a number of 29 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 100746871148144.

It is a congruent number.

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, 881375507 + ... + 881489805.

It is an arithmetic number, because the mean of its divisors is an integer number (2653755597990).

Almost surely, 2^{100746871148144} 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 100746871148144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106150223919600).

100746871148144 is an abundant number, since it is smaller than the sum of its proper divisors (111553576691056).

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

100746871148144 is a wasteful number, since it uses less digits than its factorization.

100746871148144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156378 (or 156372 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 56.

The spelling of 100746871148144 in words is "one hundred trillion, seven hundred forty-six billion, eight hundred seventy-one million, one hundred forty-eight thousand, one hundred forty-four".