105256660 has 48 divisors (see below), whose sum is σ = 230202000. Its totient is φ = 40377344.

The previous prime is 105256643. The next prime is 105256667. The reversal of 105256660 is 66652501.

It can be written as a sum of positive squares in 8 ways, for example, as 17422276 + 87834384 = 4174^2 + 9372^2 .

It is a super-2 number, since 2×105256660² = 22157928948711200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105256667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99816 + ... + 100864.

It is an arithmetic number, because the mean of its divisors is an integer number (4795875).

Almost surely, 2^105256660 is an apocalyptic number.

105256660 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 105256660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115101000).

105256660 is an abundant number, since it is smaller than the sum of its proper divisors (124945340).

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

105256660 is a wasteful number, since it uses less digits than its factorization.

105256660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 105256660 is about 10259.4668477460. The cubic root of 105256660 is about 472.1534799641.

The spelling of 105256660 in words is "one hundred five million, two hundred fifty-six thousand, six hundred sixty".