103829036160 has 128 divisors (see below), whose sum is σ = 345344549760. Its totient is φ = 26483916800.

The previous prime is 103829036153. The next prime is 103829036177. The reversal of 103829036160 is 61630928301.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131441 + ... + 1219760.

It is an arithmetic number, because the mean of its divisors is an integer number (2698004295).

Almost surely, 2^103829036160 is an apocalyptic number.

103829036160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103829036160 is an abundant number, since it is smaller than the sum of its proper divisors (241515513600).

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

103829036160 is a wasteful number, since it uses less digits than its factorization.

103829036160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351246 (or 2351234 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 103829036160 in words is "one hundred three billion, eight hundred twenty-nine million, thirty-six thousand, one hundred sixty".