105511115720 has 16 divisors (see below), whose sum is σ = 237400010460. Its totient is φ = 42204446272.

The previous prime is 105511115719. The next prime is 105511115741. The reversal of 105511115720 is 27511115501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100095038884 + 5416076836 = 316378^2 + 73594^2 .

It is a super-2 number, since 2×105511115720² (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 (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1318888907 + ... + 1318888986.

Almost surely, 2^105511115720 is an apocalyptic number.

105511115720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105511115720 is an abundant number, since it is smaller than the sum of its proper divisors (131888894740).

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

105511115720 is a wasteful number, since it uses less digits than its factorization.

105511115720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637777904 (or 2637777900 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 29.

The spelling of 105511115720 in words is "one hundred five billion, five hundred eleven million, one hundred fifteen thousand, seven hundred twenty".