100507045801 has 24 divisors (see below), whose sum is σ = 106171175880. Its totient is φ = 95079571200.

The previous prime is 100507045799. The next prime is 100507045819. The reversal of 100507045801 is 108540705001.

It can be written as a sum of positive squares in 4 ways, for example, as 6687968400 + 93819077401 = 81780^2 + 306299^2 .

It is not a de Polignac number, because 100507045801 - 2¹ = 100507045799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100507045841) 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, 9866931 + ... + 9877111.

It is an arithmetic number, because the mean of its divisors is an integer number (4423798995).

Almost surely, 2^100507045801 is an apocalyptic number.

It is an amenable number.

100507045801 is a deficient number, since it is larger than the sum of its proper divisors (5664130079).

100507045801 is a wasteful number, since it uses less digits than its factorization.

100507045801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10425 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The spelling of 100507045801 in words is "one hundred billion, five hundred seven million, forty-five thousand, eight hundred one".