105736650100 has 36 divisors (see below), whose sum is σ = 235649850604. Its totient is φ = 41151559680.

The previous prime is 105736650079. The next prime is 105736650101. The reversal of 105736650100 is 1056637501.

It can be written as a sum of positive squares in 6 ways, for example, as 3625725796 + 102110924304 = 60214^2 + 319548^2 .

It is a super-2 number, since 2×105736650100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105736650101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14285037 + ... + 14292436.

Almost surely, 2^105736650100 is an apocalyptic number.

105736650100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105736650100 is an abundant number, since it is smaller than the sum of its proper divisors (129913200504).

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

105736650100 is a wasteful number, since it uses less digits than its factorization.

105736650100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28577524 (or 28577517 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 105736650100 in words is "one hundred five billion, seven hundred thirty-six million, six hundred fifty thousand, one hundred".