100801724436 has 72 divisors (see below), whose sum is σ = 296140703040. Its totient is φ = 28312344576.

The previous prime is 100801724431. The next prime is 100801724449. The reversal of 100801724436 is 634427108001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100801724436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100801724431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3375021 + ... + 3404756.

It is an arithmetic number, because the mean of its divisors is an integer number (4113065320).

Almost surely, 2^100801724436 is an apocalyptic number.

It is an amenable number.

100801724436 is an abundant number, since it is smaller than the sum of its proper divisors (195338978604).

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

100801724436 is a wasteful number, since it uses less digits than its factorization.

100801724436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6779853 (or 6779848 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 100801724436 in words is "one hundred billion, eight hundred one million, seven hundred twenty-four thousand, four hundred thirty-six".