100614338080 has 96 divisors (see below), whose sum is σ = 239131070640. Its totient is φ = 40004321280.

The previous prime is 100614338039. The next prime is 100614338081. The reversal of 100614338080 is 80833416001.

It can be written as a sum of positive squares in 8 ways, for example, as 61863628176 + 38750709904 = 248724^2 + 196852^2 .

It is not an unprimeable number, because it can be changed into a prime (100614338081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23789406 + ... + 23793634.

Almost surely, 2^100614338080 is an apocalyptic number.

100614338080 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 100614338080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119565535320).

100614338080 is an abundant number, since it is smaller than the sum of its proper divisors (138516732560).

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

100614338080 is a wasteful number, since it uses less digits than its factorization.

100614338080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 100614338080 in words is "one hundred billion, six hundred fourteen million, three hundred thirty-eight thousand, eighty".