10381572100 has 81 divisors (see below), whose sum is σ = 23603356693. Its totient is φ = 3963113440.

The previous prime is 10381572059. The next prime is 10381572119. The reversal of 10381572100 is 127518301.

The square root of 10381572100 is 101890.

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., 3737365956 + 6644206144 = 61134^2 + 81512^2 .

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, 23434479 + ... + 23434921.

Almost surely, 2^10381572100 is an apocalyptic number.

10381572100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10381572100 is the 101890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10381572100

10381572100 is an abundant number, since it is smaller than the sum of its proper divisors (13221784593).

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

10381572100 is an equidigital number, since it uses as much as digits as its factorization.

10381572100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 10381572100 in words is "ten billion, three hundred eighty-one million, five hundred seventy-two thousand, one hundred".