10970467600 has 45 divisors (see below), whose sum is σ = 26361582127. Its totient is φ = 4387349120.

The previous prime is 10970467583. The next prime is 10970467603. The reversal of 10970467600 is 676407901.

The square root of 10970467600 is 104740.

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 693374224 + 10277093376 = 26332^2 + 101376^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10970467603) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2092182 + ... + 2097418.

Almost surely, 2^10970467600 is an apocalyptic number.

10970467600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10970467600 is the 104740-th square number.

It is an amenable number.

10970467600 is an abundant number, since it is smaller than the sum of its proper divisors (15391114527).

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

10970467600 is an frugal number, since it uses more digits than its factorization.

10970467600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

Multiplying 10970467600 by its product of nonzero digits (63504), we get a square (696668574470400 = 26394480²).

The spelling of 10970467600 in words is "ten billion, nine hundred seventy million, four hundred sixty-seven thousand, six hundred".