10688153 has 16 divisors (see below), whose sum is σ = 12986880. Its totient is φ = 8600256.

The previous prime is 10688143. The next prime is 10688173. The reversal of 10688153 is 35188601.

It is not a de Polignac number, because 10688153 - 2¹⁰ = 10687129 is a prime.

It is a super-2 number, since 2×10688153² = 228473229102818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10688143) 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 15 ways as a sum of consecutive naturals, for example, 6800 + ... + 8222.

It is an arithmetic number, because the mean of its divisors is an integer number (811680).

Almost surely, 2^10688153 is an apocalyptic number.

It is an amenable number.

10688153 is a deficient number, since it is larger than the sum of its proper divisors (2298727).

10688153 is a wasteful number, since it uses less digits than its factorization.

10688153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 10688153 is about 3269.2740784462. The cubic root of 10688153 is about 220.2761889388.

The spelling of 10688153 in words is "ten million, six hundred eighty-eight thousand, one hundred fifty-three".