10957700 has 36 divisors (see below), whose sum is σ = 25610340. Its totient is φ = 4045440.

The previous prime is 10957691. The next prime is 10957711. The reversal of 10957700 is 775901.

It can be written as a sum of positive squares in 6 ways, for example, as 2709316 + 8248384 = 1646^2 + 2872^2 .

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2915 + ... + 5514.

Almost surely, 2^10957700 is an apocalyptic number.

10957700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10957700 is an abundant number, since it is smaller than the sum of its proper divisors (14652640).

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

10957700 is a wasteful number, since it uses less digits than its factorization.

10957700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8456 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 10957700 is about 3310.2416830195. The cubic root of 10957700 is about 222.1125690499.

The spelling of 10957700 in words is "ten million, nine hundred fifty-seven thousand, seven hundred".