10377089424 has 135 divisors (see below), whose sum is σ = 31495469187. Its totient is φ = 3188060928.

The previous prime is 10377089369. The next prime is 10377089431. The reversal of 10377089424 is 42498077301.

The square root of 10377089424 is 101868.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4028187024 + 6348902400 = 63468^2 + 79680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10377089424.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15891082 + ... + 15891734.

Almost surely, 2^10377089424 is an apocalyptic number.

10377089424 is the 101868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10377089424

10377089424 is an abundant number, since it is smaller than the sum of its proper divisors (21118379763).

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

10377089424 is an equidigital number, since it uses as much as digits as its factorization.

10377089424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10377089424 in words is "ten billion, three hundred seventy-seven million, eighty-nine thousand, four hundred twenty-four".