92100424 has 64 divisors (see below), whose sum is σ = 199085040. Its totient is φ = 39567360.

The previous prime is 92100413. The next prime is 92100451. The reversal of 92100424 is 42400129.

It can be written as a sum of positive squares in 8 ways, for example, as 9108324 + 82992100 = 3018^2 + 9110^2 .

It is a junction number, because it is equal to n+sod(n) for n = 92100395 and 92100404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199554 + ... + 200014.

Almost surely, 2^92100424 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 92100424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99542520).

92100424 is an abundant number, since it is smaller than the sum of its proper divisors (106984616).

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

92100424 is a wasteful number, since it uses less digits than its factorization.

92100424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 92100424 is about 9596.8965817081. The cubic root of 92100424 is about 451.5999410030.

The spelling of 92100424 in words is "ninety-two million, one hundred thousand, four hundred twenty-four".