100004640900 has 144 divisors (see below), whose sum is σ = 290654896896. Its totient is φ = 26547684480.

The previous prime is 100004640881. The next prime is 100004640947. The reversal of 100004640900 is 9046400001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110258247 + ... + 110259153.

It is an arithmetic number, because the mean of its divisors is an integer number (2018436784).

Almost surely, 2^100004640900 is an apocalyptic number.

100004640900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100004640900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145327448448).

100004640900 is an abundant number, since it is smaller than the sum of its proper divisors (190650255996).

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

100004640900 is a wasteful number, since it uses less digits than its factorization.

100004640900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 100004640900 in words is "one hundred billion, four million, six hundred forty thousand, nine hundred".