105366502544 has 40 divisors (see below), whose sum is σ = 210877243320. Its totient is φ = 50963033088.

The previous prime is 105366502529. The next prime is 105366502573. The reversal of 105366502544 is 445205663501.

105366502544 = 412² + 413² + ... + 6812².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35940576400 + 69425926144 = 189580^2 + 263488^2 .

It is a super-2 number, since 2×105366502544² (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 7 ways as a sum of consecutive naturals, for example, 411989 + ... + 616820.

It is an arithmetic number, because the mean of its divisors is an integer number (5271931083).

Almost surely, 2^105366502544 is an apocalyptic number.

It is an amenable number.

105366502544 is an abundant number, since it is smaller than the sum of its proper divisors (105510740776).

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

105366502544 is a wasteful number, since it uses less digits than its factorization.

105366502544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029027 (or 1029021 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 105366502544 in words is "one hundred five billion, three hundred sixty-six million, five hundred two thousand, five hundred forty-four".