100309140880 has 160 divisors (see below), whose sum is σ = 256908556800. Its totient is φ = 36191840256.

The previous prime is 100309140859. The next prime is 100309140889. The reversal of 100309140880 is 88041903001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100309140889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41986726 + ... + 41989114.

It is an arithmetic number, because the mean of its divisors is an integer number (1605678480).

Almost surely, 2^100309140880 is an apocalyptic number.

100309140880 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 100309140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128454278400).

100309140880 is an abundant number, since it is smaller than the sum of its proper divisors (156599415920).

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

100309140880 is a wasteful number, since it uses less digits than its factorization.

100309140880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 100309140880 in words is "one hundred billion, three hundred nine million, one hundred forty thousand, eight hundred eighty".