10129664 has 18 divisors (see below), whose sum is σ = 20220270. Its totient is φ = 5064704.

The previous prime is 10129657. The next prime is 10129673. The reversal of 10129664 is 46692101.

It can be written as a sum of positive squares in only one way, i.e., 9048064 + 1081600 = 3008^2 + 1040^2 .

It is a super-2 number, since 2×10129664² = 205220185505792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19529 + ... + 20040.

Almost surely, 2^10129664 is an apocalyptic number.

It is an amenable number.

10129664 is a deficient number, since it is larger than the sum of its proper divisors (10090606).

10129664 is an frugal number, since it uses more digits than its factorization.

10129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39585 (or 39571 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10129664 is about 3182.7133078554. The cubic root of 10129664 is about 216.3706484814.

The spelling of 10129664 in words is "ten million, one hundred twenty-nine thousand, six hundred sixty-four".