105613077800 has 24 divisors (see below), whose sum is σ = 245550406350. Its totient is φ = 42245231040.

The previous prime is 105613077799. The next prime is 105613077821. The reversal of 105613077800 is 8770316501.

It can be written as a sum of positive squares in 3 ways, for example, as 73138875364 + 32474202436 = 270442^2 + 180206^2 .

It is a super-2 number, since 2×105613077800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264032495 + ... + 264032894.

Almost surely, 2^105613077800 is an apocalyptic number.

105613077800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105613077800 is an abundant number, since it is smaller than the sum of its proper divisors (139937328550).

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

105613077800 is a wasteful number, since it uses less digits than its factorization.

105613077800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528065405 (or 528065396 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 105613077800 in words is "one hundred five billion, six hundred thirteen million, seventy-seven thousand, eight hundred".