100520106640 has 40 divisors (see below), whose sum is σ = 233899638840. Its totient is φ = 40175287296.

The previous prime is 100520106619. The next prime is 100520106641. The reversal of 100520106640 is 46601025001.

It can be written as a sum of positive squares in 4 ways, for example, as 74254070016 + 26266036624 = 272496^2 + 162068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (100520106641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412869 + ... + 609508.

It is an arithmetic number, because the mean of its divisors is an integer number (5847490971).

Almost surely, 2^100520106640 is an apocalyptic number.

100520106640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100520106640 is an abundant number, since it is smaller than the sum of its proper divisors (133379532200).

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

100520106640 is a wasteful number, since it uses less digits than its factorization.

100520106640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023619 (or 1023613 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 100520106640 in words is "one hundred billion, five hundred twenty million, one hundred six thousand, six hundred forty".