100511225640 has 96 divisors (see below), whose sum is σ = 373327418880. Its totient is φ = 22973993856.

The previous prime is 100511225627. The next prime is 100511225641. The reversal of 100511225640 is 46522115001.

100511225640 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 12 + 2 + 5 + 640 = 666.

It is not an unprimeable number, because it can be changed into a prime (100511225641) 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, 19940184 + ... + 19945223.

It is an arithmetic number, because the mean of its divisors is an integer number (3888827280).

Almost surely, 2^100511225640 is an apocalyptic number.

100511225640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100511225640 is an abundant number, since it is smaller than the sum of its proper divisors (272816193240).

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

100511225640 is a wasteful number, since it uses less digits than its factorization.

100511225640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39885431 (or 39885424 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 100511225640 in words is "one hundred billion, five hundred eleven million, two hundred twenty-five thousand, six hundred forty".