100468228640 has 72 divisors (see below), whose sum is σ = 257018902308. Its totient is φ = 37095951360.

The previous prime is 100468228639. The next prime is 100468228661. The reversal of 100468228640 is 46822864001.

100468228640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 22383750544 + 78084478096 = 149612^2 + 279436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1830731 + ... + 1884810.

Almost surely, 2^100468228640 is an apocalyptic number.

100468228640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100468228640 is an abundant number, since it is smaller than the sum of its proper divisors (156550673668).

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

100468228640 is a wasteful number, since it uses less digits than its factorization.

100468228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715582 (or 3715561 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 100468228640 in words is "one hundred billion, four hundred sixty-eight million, two hundred twenty-eight thousand, six hundred forty".