10192921600 has 99 divisors (see below), whose sum is σ = 25306207401. Its totient is φ = 4070707200.

The previous prime is 10192921573. The next prime is 10192921603. The reversal of 10192921600 is 612929101.

The square root of 10192921600 is 100960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3669451776 + 6523469824 = 60576^2 + 80768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10192921603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16153285 + ... + 16153915.

Almost surely, 2^10192921600 is an apocalyptic number.

10192921600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10192921600 is the 100960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10192921600

10192921600 is an abundant number, since it is smaller than the sum of its proper divisors (15113285801).

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

10192921600 is an frugal number, since it uses more digits than its factorization.

10192921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 10192921600 in words is "ten billion, one hundred ninety-two million, nine hundred twenty-one thousand, six hundred".