10590105360 has 160 divisors (see below), whose sum is σ = 33769802880. Its totient is φ = 2743824384.

The previous prime is 10590105359. The next prime is 10590105367. The reversal of 10590105360 is 6350109501.

It is a super-2 number, since 2×10590105360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10590105367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2030436 + ... + 2035644.

It is an arithmetic number, because the mean of its divisors is an integer number (211061268).

Almost surely, 2^10590105360 is an apocalyptic number.

10590105360 is a gapful number since it is divisible by the number (10) 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 10590105360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16884901440).

10590105360 is an abundant number, since it is smaller than the sum of its proper divisors (23179697520).

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

10590105360 is a wasteful number, since it uses less digits than its factorization.

10590105360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The spelling of 10590105360 in words is "ten billion, five hundred ninety million, one hundred five thousand, three hundred sixty".