93146112 has 110 divisors (see below), whose sum is σ = 278400188. Its totient is φ = 31021056.

The previous prime is 93146101. The next prime is 93146143. The reversal of 93146112 is 21164139.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82383 + ... + 83505.

Almost surely, 2^93146112 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 93146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139200094).

93146112 is an abundant number, since it is smaller than the sum of its proper divisors (185254076).

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

93146112 is a wasteful number, since it uses less digits than its factorization.

93146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1128 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 93146112 is about 9651.2233421468. The cubic root of 93146112 is about 453.3026353684.

The spelling of 93146112 in words is "ninety-three million, one hundred forty-six thousand, one hundred twelve".