92106662400 has 360 divisors, whose sum is σ = 330390727524. Its totient is φ = 24504729600.

The previous prime is 92106662377. The next prime is 92106662413. The reversal of 92106662400 is 426660129.

It can be written as a sum of positive squares in 6 ways, for example, as 82640150784 + 9466511616 = 287472^2 + 97296^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77989810 + ... + 77990990.

Almost surely, 2^92106662400 is an apocalyptic number.

92106662400 is a gapful number since it is divisible by the number (90) 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 92106662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165195363762).

92106662400 is an abundant number, since it is smaller than the sum of its proper divisors (238284065124).

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

92106662400 is a wasteful number, since it uses less digits than its factorization.

92106662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 92106662400 in words is "ninety-two billion, one hundred six million, six hundred sixty-two thousand, four hundred".