109875000312 has 256 divisors, whose sum is σ = 381063398400. Its totient is φ = 28498176000.

The previous prime is 109875000281. The next prime is 109875000371. The reversal of 109875000312 is 213000578901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12652612 + ... + 12661292.

It is an arithmetic number, because the mean of its divisors is an integer number (1488528900).

Almost surely, 2^109875000312 is an apocalyptic number.

109875000312 is a gapful number since it is divisible by the number (12) 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 109875000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190531699200).

109875000312 is an abundant number, since it is smaller than the sum of its proper divisors (271188398088).

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

109875000312 is a wasteful number, since it uses less digits than its factorization.

109875000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 109875000312 in words is "one hundred nine billion, eight hundred seventy-five million, three hundred twelve", and thus it is an aban number.