105112580 has 12 divisors (see below), whose sum is σ = 220736460. Its totient is φ = 42045024.

The previous prime is 105112573. The next prime is 105112583. The reversal of 105112580 is 85211501.

It can be written as a sum of positive squares in 2 ways, for example, as 43270084 + 61842496 = 6578^2 + 7864^2 .

It is a super-2 number, since 2×105112580² = 22097308948512800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105112583) 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, 2627795 + ... + 2627834.

It is an arithmetic number, because the mean of its divisors is an integer number (18394705).

Almost surely, 2^105112580 is an apocalyptic number.

105112580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105112580 is an abundant number, since it is smaller than the sum of its proper divisors (115623880).

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

105112580 is a wasteful number, since it uses less digits than its factorization.

105112580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255638 (or 5255636 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 23.

The square root of 105112580 is about 10252.4426357820. The cubic root of 105112580 is about 471.9379466924.

It can be divided in two parts, 1051 and 12580, that added together give a palindrome (13631).

The spelling of 105112580 in words is "one hundred five million, one hundred twelve thousand, five hundred eighty".