10688105233 has 16 divisors (see below), whose sum is σ = 11834872000. Its totient is φ = 9588321216.

The previous prime is 10688105231. The next prime is 10688105291. The reversal of 10688105233 is 33250188601.

10688105233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10688105233 - 2¹ = 10688105231 is a prime.

It is a super-2 number, since 2×10688105233² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10688105192 and 10688105201.

It is not an unprimeable number, because it can be changed into a prime (10688105231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424018 + ... + 448516.

It is an arithmetic number, because the mean of its divisors is an integer number (739679500).

Almost surely, 2^10688105233 is an apocalyptic number.

10688105233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10688105233 is a deficient number, since it is larger than the sum of its proper divisors (1146766767).

10688105233 is a wasteful number, since it uses less digits than its factorization.

10688105233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25456.

The product of its (nonzero) digits is 34560, while the sum is 37.

It can be divided in two parts, 10688 and 105233, that added together give a triangular number (115921 = T₄₈₁).

The spelling of 10688105233 in words is "ten billion, six hundred eighty-eight million, one hundred five thousand, two hundred thirty-three".