100635106144 has 48 divisors (see below), whose sum is σ = 203046737040. Its totient is φ = 49068759040.

The previous prime is 100635106133. The next prime is 100635106151. The reversal of 100635106144 is 441601536001.

It is a super-2 number, since 2×100635106144² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 3210612 + ... + 3241804.

It is an arithmetic number, because the mean of its divisors is an integer number (4230140355).

Almost surely, 2^100635106144 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 100635106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101523368520).

100635106144 is an abundant number, since it is smaller than the sum of its proper divisors (102411630896).

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

100635106144 is a wasteful number, since it uses less digits than its factorization.

100635106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33703 (or 33695 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 100635106144 in words is "one hundred billion, six hundred thirty-five million, one hundred six thousand, one hundred forty-four".