10371385600 has 243 divisors, whose sum is σ = 27503413497. Its totient is φ = 3871549440.

The previous prime is 10371385573. The next prime is 10371385631. The reversal of 10371385600 is 658317301.

The square root of 10371385600 is 101840.

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., 3733698816 + 6637686784 = 61104^2 + 81472^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 154796767 + ... + 154796833.

Almost surely, 2^10371385600 is an apocalyptic number.

10371385600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10371385600 is the 101840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10371385600

10371385600 is an abundant number, since it is smaller than the sum of its proper divisors (17132027897).

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

10371385600 is an frugal number, since it uses more digits than its factorization.

10371385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 10371385600 in words is "ten billion, three hundred seventy-one million, three hundred eighty-five thousand, six hundred".