103300099604800 has 336 divisors, whose sum is σ = 294921056518912. Its totient is φ = 34878980505600.

The previous prime is 103300099604783. The next prime is 103300099604827. The reversal of 103300099604800 is 8406990003301.

It is a super-2 number, since 2×103300099604800² (a number of 29 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 47 ways as a sum of consecutive naturals, for example, 540338029 + ... + 540529171.

Almost surely, 2^{103300099604800} is an apocalyptic number.

103300099604800 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 103300099604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147460528259456).

103300099604800 is an abundant number, since it is smaller than the sum of its proper divisors (191620956914112).

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

103300099604800 is a wasteful number, since it uses less digits than its factorization.

103300099604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191906 (or 191891 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 103300099604800 in words is "one hundred three trillion, three hundred billion, ninety-nine million, six hundred four thousand, eight hundred".