9892200096 has 72 divisors (see below), whose sum is σ = 28161986580. Its totient is φ = 3293761536.

The previous prime is 9892200089. The next prime is 9892200103. The reversal of 9892200096 is 6900022989.

It is an interprime number because it is at equal distance from previous prime (9892200089) and next prime (9892200103).

It can be written as a sum of positive squares in 2 ways, for example, as 7705328400 + 2186871696 = 87780^2 + 46764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249066 + ... + 286038.

Almost surely, 2^9892200096 is an apocalyptic number.

9892200096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9892200096 is an abundant number, since it is smaller than the sum of its proper divisors (18269786484).

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

9892200096 is a wasteful number, since it uses less digits than its factorization.

9892200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37918 (or 37907 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9892200096 is about 99459.5399949145. The cubic root of 9892200096 is about 2146.6651090267.

The spelling of 9892200096 in words is "nine billion, eight hundred ninety-two million, two hundred thousand, ninety-six".