92951104 has 56 divisors (see below), whose sum is σ = 200665080. Its totient is φ = 42541056.

The previous prime is 92951063. The next prime is 92951149. The reversal of 92951104 is 40115929.

It can be written as a sum of positive squares in 4 ways, for example, as 61591104 + 31360000 = 7848^2 + 5600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39102 + ... + 41410.

It is an arithmetic number, because the mean of its divisors is an integer number (3583305).

Almost surely, 2^92951104 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 92951104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100332540).

92951104 is an abundant number, since it is smaller than the sum of its proper divisors (107713976).

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

92951104 is a wasteful number, since it uses less digits than its factorization.

92951104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 92951104 is about 9641.1152881811. The cubic root of 92951104 is about 452.9860739319.

The spelling of 92951104 in words is "ninety-two million, nine hundred fifty-one thousand, one hundred four".