100144040320 has 64 divisors (see below), whose sum is σ = 242437435200. Its totient is φ = 39550537728.

The previous prime is 100144040309. The next prime is 100144040333. The reversal of 100144040320 is 23040441001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×100144040320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939789 + ... + 1040908.

It is an arithmetic number, because the mean of its divisors is an integer number (3788084925).

Almost surely, 2^100144040320 is an apocalyptic number.

100144040320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100144040320 is an abundant number, since it is smaller than the sum of its proper divisors (142293394880).

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

100144040320 is an equidigital number, since it uses as much as digits as its factorization.

100144040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980795 (or 1980783 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 100144040320 its reverse (23040441001), we get a palindrome (123184481321).

The spelling of 100144040320 in words is "one hundred billion, one hundred forty-four million, forty thousand, three hundred twenty".