105255765260 has 48 divisors (see below), whose sum is σ = 230713914816. Its totient is φ = 40260160512.

The previous prime is 105255765247. The next prime is 105255765311. The reversal of 105255765260 is 62567552501.

It is a happy number.

It is a super-2 number, since 2×105255765260² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1658432 + ... + 1720728.

It is an arithmetic number, because the mean of its divisors is an integer number (4806539892).

Almost surely, 2^105255765260 is an apocalyptic number.

105255765260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105255765260 is an abundant number, since it is smaller than the sum of its proper divisors (125458149556).

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

105255765260 is a wasteful number, since it uses less digits than its factorization.

105255765260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66002 (or 66000 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 44.

The spelling of 105255765260 in words is "one hundred five billion, two hundred fifty-five million, seven hundred sixty-five thousand, two hundred sixty".