10092902400 has 864 divisors, whose sum is σ = 43415190000. Its totient is φ = 2291466240.

The previous prime is 10092902399. The next prime is 10092902447. The reversal of 10092902400 is 420929001.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 67737526 + ... + 67737674.

Almost surely, 2^10092902400 is an apocalyptic number.

10092902400 is a gapful number since it is divisible by the number (10) 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 10092902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21707595000).

10092902400 is an abundant number, since it is smaller than the sum of its proper divisors (33322287600).

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

10092902400 is a wasteful number, since it uses less digits than its factorization.

10092902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10092902400 in words is "ten billion, ninety-two million, nine hundred two thousand, four hundred".