92105856 has 128 divisors (see below), whose sum is σ = 281520000. Its totient is φ = 29611008.

The previous prime is 92105843. The next prime is 92105873. The reversal of 92105856 is 65850129.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 92105856.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 99765 + ... + 100683.

It is an arithmetic number, because the mean of its divisors is an integer number (2199375).

Almost surely, 2^92105856 is an apocalyptic number.

92105856 is a gapful number since it is divisible by the number (96) 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 92105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140760000).

92105856 is an abundant number, since it is smaller than the sum of its proper divisors (189414144).

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

92105856 is a wasteful number, since it uses less digits than its factorization.

92105856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 92105856 is about 9597.1795856908. The cubic root of 92105856 is about 451.6088191476.

The spelling of 92105856 in words is "ninety-two million, one hundred five thousand, eight hundred fifty-six".