105014774440 has 32 divisors (see below), whose sum is σ = 236329245000. Its totient is φ = 41997731584.

The previous prime is 105014774413. The next prime is 105014774479. The reversal of 105014774440 is 44477410501.

It can be written as a sum of positive squares in 4 ways, for example, as 104959152676 + 55621764 = 323974^2 + 7458^2 .

It is a super-2 number, since 2×105014774440² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105014774440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45415 + ... + 460534.

Almost surely, 2^105014774440 is an apocalyptic number.

105014774440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105014774440 is an abundant number, since it is smaller than the sum of its proper divisors (131314470560).

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

105014774440 is a wasteful number, since it uses less digits than its factorization.

105014774440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511149 (or 511145 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The spelling of 105014774440 in words is "one hundred five billion, fourteen million, seven hundred seventy-four thousand, four hundred forty".