93800112 has 120 divisors (see below), whose sum is σ = 296856000. Its totient is φ = 25377408.

The previous prime is 93800111. The next prime is 93800177. The reversal of 93800112 is 21100839.

It is a super-2 number, since 2×93800112² = 17596922022425088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (93800111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43639 + ... + 45737.

It is an arithmetic number, because the mean of its divisors is an integer number (2473800).

Almost surely, 2^93800112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93800112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428000).

93800112 is an abundant number, since it is smaller than the sum of its proper divisors (203055888).

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

93800112 is a wasteful number, since it uses less digits than its factorization.

93800112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 93800112 is about 9685.0457923543. The cubic root of 93800112 is about 454.3610756101.

The spelling of 93800112 in words is "ninety-three million, eight hundred thousand, one hundred twelve".