103636633120 has 96 divisors (see below), whose sum is σ = 246533414400. Its totient is φ = 41169171456.

The previous prime is 103636633049. The next prime is 103636633127. The reversal of 103636633120 is 21336636301.

It is a super-3 number, since 3×103636633120³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103636633127) 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, 14871877 + ... + 14878843.

It is an arithmetic number, because the mean of its divisors is an integer number (2568056400).

Almost surely, 2^103636633120 is an apocalyptic number.

103636633120 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 103636633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123266707200).

103636633120 is an abundant number, since it is smaller than the sum of its proper divisors (142896781280).

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

103636633120 is a wasteful number, since it uses less digits than its factorization.

103636633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7602 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 34.

The spelling of 103636633120 in words is "one hundred three billion, six hundred thirty-six million, six hundred thirty-three thousand, one hundred twenty".