10120964 has 12 divisors (see below), whose sum is σ = 20241984. Its totient is φ = 4337544.

The previous prime is 10120963. The next prime is 10120969. The reversal of 10120964 is 46902101.

10120964 = T₁₆₉₇ + T₁₆₉₈ + ... + T₁₇₀₃.

It is a happy number.

10120964 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (10120961) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 180704 + ... + 180759.

It is an arithmetic number, because the mean of its divisors is an integer number (1686832).

Almost surely, 2^10120964 is an apocalyptic number.

10120964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10120964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10120964 is a wasteful number, since it uses less digits than its factorization.

10120964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361474 (or 361472 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10120964 is about 3181.3462559112. The cubic root of 10120964 is about 216.3086864455.

The spelling of 10120964 in words is "ten million, one hundred twenty thousand, nine hundred sixty-four".