10605083136 has 160 divisors (see below), whose sum is σ = 29304219648. Its totient is φ = 3404574720.

The previous prime is 10605083131. The next prime is 10605083143. The reversal of 10605083136 is 63138050601.

It is a super-2 number, since 2×10605083136² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10605083097 and 10605083106.

It is not an unprimeable number, because it can be changed into a prime (10605083131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13474935 + ... + 13475721.

Almost surely, 2^10605083136 is an apocalyptic number.

10605083136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10605083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14652109824).

10605083136 is an abundant number, since it is smaller than the sum of its proper divisors (18699136512).

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

10605083136 is an equidigital number, since it uses as much as digits as its factorization.

10605083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 10605083136 in words is "ten billion, six hundred five million, eighty-three thousand, one hundred thirty-six".