103251116700 has 432 divisors, whose sum is σ = 362250252000. Its totient is φ = 24530135040.

The previous prime is 103251116687. The next prime is 103251116729. The reversal of 103251116700 is 7611152301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84011686 + ... + 84012914.

It is an arithmetic number, because the mean of its divisors is an integer number (838542250).

Almost surely, 2^103251116700 is an apocalyptic number.

103251116700 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 103251116700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181125126000).

103251116700 is an abundant number, since it is smaller than the sum of its proper divisors (258999135300).

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

103251116700 is a wasteful number, since it uses less digits than its factorization.

103251116700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 103251116700 in words is "one hundred three billion, two hundred fifty-one million, one hundred sixteen thousand, seven hundred".