105975580 has 12 divisors (see below), whose sum is σ = 222548760. Its totient is φ = 42390224.

The previous prime is 105975503. The next prime is 105975589. The reversal of 105975580 is 85579501.

It is a super-2 number, since 2×105975580² = 22461647112672800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105975589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2649370 + ... + 2649409.

It is an arithmetic number, because the mean of its divisors is an integer number (18545730).

Almost surely, 2^105975580 is an apocalyptic number.

105975580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105975580 is an abundant number, since it is smaller than the sum of its proper divisors (116573180).

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

105975580 is a wasteful number, since it uses less digits than its factorization.

105975580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298788 (or 5298786 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 40.

The square root of 105975580 is about 10294.4441326378. Note that the first 3 decimals coincide. The cubic root of 105975580 is about 473.2260033485.

The spelling of 105975580 in words is "one hundred five million, nine hundred seventy-five thousand, five hundred eighty".