100737874122416 has 40 divisors (see below), whose sum is σ = 207372357766080. Its totient is φ = 47271978298944.

The previous prime is 100737874122409. The next prime is 100737874122421. The reversal of 100737874122416 is 614221478737001.

100737874122416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1548446846 + ... + 1548511901.

It is an arithmetic number, because the mean of its divisors is an integer number (5184308944152).

Almost surely, 2^{100737874122416} is an apocalyptic number.

100737874122416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100737874122416 is an abundant number, since it is smaller than the sum of its proper divisors (106634483643664).

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

100737874122416 is a wasteful number, since it uses less digits than its factorization.

100737874122416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096958881 (or 3096958875 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 53.

The spelling of 100737874122416 in words is "one hundred trillion, seven hundred thirty-seven billion, eight hundred seventy-four million, one hundred twenty-two thousand, four hundred sixteen".