105100055253200 has 90 divisors (see below), whose sum is σ = 293727843248886. Its totient is φ = 36034304651520.

The previous prime is 105100055253199. The next prime is 105100055253211. The reversal of 105100055253200 is 2352550001501.

It can be written as a sum of positive squares in 3 ways, for example, as 8390453770384 + 96709601482816 = 2896628^2 + 9834104^2 .

It is a super-2 number, since 2×105100055253200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2681104259 + ... + 2681143458.

Almost surely, 2^{105100055253200} is an apocalyptic number.

105100055253200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105100055253200 is an abundant number, since it is smaller than the sum of its proper divisors (188627787995686).

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

105100055253200 is a wasteful number, since it uses less digits than its factorization.

105100055253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362247749 (or 5362247731 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 29.

The spelling of 105100055253200 in words is "one hundred five trillion, one hundred billion, fifty-five million, two hundred fifty-three thousand, two hundred".