105776507000 has 32 divisors (see below), whose sum is σ = 247517028720. Its totient is φ = 42310602400.

The previous prime is 105776506993. The next prime is 105776507017. The reversal of 105776507000 is 705677501.

It is a super-2 number, since 2×105776507000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 52887254 + ... + 52889253.

Almost surely, 2^105776507000 is an apocalyptic number.

105776507000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105776507000 is an abundant number, since it is smaller than the sum of its proper divisors (141740521720).

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

105776507000 is a wasteful number, since it uses less digits than its factorization.

105776507000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105776528 (or 105776514 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 38.

The spelling of 105776507000 in words is "one hundred five billion, seven hundred seventy-six million, five hundred seven thousand".