103813165056 has 624 divisors, whose sum is σ = 324448524288. Its totient is φ = 29412556800.

The previous prime is 103813165009. The next prime is 103813165069. The reversal of 103813165056 is 650561318301.

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, 2532028396 + ... + 2532028436.

Almost surely, 2^103813165056 is an apocalyptic number.

103813165056 is a gapful number since it is divisible by the number (16) 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 103813165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162224262144).

103813165056 is an abundant number, since it is smaller than the sum of its proper divisors (220635359232).

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

103813165056 is a wasteful number, since it uses less digits than its factorization.

103813165056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 103813165056 in words is "one hundred three billion, eight hundred thirteen million, one hundred sixty-five thousand, fifty-six".