105545811460 has 48 divisors (see below), whose sum is σ = 230290729200. Its totient is φ = 40584466944.

The previous prime is 105545811457. The next prime is 105545811467. The reversal of 105545811460 is 64118545501.

It can be written as a sum of positive squares in 8 ways, for example, as 2047200516 + 103498610944 = 45246^2 + 321712^2 .

It is a super-2 number, since 2×105545811460² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105545811467) 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, 264507 + ... + 530146.

It is an arithmetic number, because the mean of its divisors is an integer number (4797723525).

Almost surely, 2^105545811460 is an apocalyptic number.

105545811460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105545811460 is an abundant number, since it is smaller than the sum of its proper divisors (124744917740).

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

105545811460 is a wasteful number, since it uses less digits than its factorization.

105545811460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794920 (or 794918 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 40.

The spelling of 105545811460 in words is "one hundred five billion, five hundred forty-five million, eight hundred eleven thousand, four hundred sixty".