105512243255200 has 144 divisors (see below), whose sum is σ = 272010539586240. Its totient is φ = 39855020544000.

The previous prime is 105512243255173. The next prime is 105512243255201. The reversal of 105512243255200 is 2552342215501.

It is a super-2 number, since 2×105512243255200² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105512243255200.

It is not an unprimeable number, because it can be changed into a prime (105512243255201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6432921 + ... + 15887320.

It is an arithmetic number, because the mean of its divisors is an integer number (1888962080460).

Almost surely, 2^{105512243255200} is an apocalyptic number.

105512243255200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105512243255200 is an abundant number, since it is smaller than the sum of its proper divisors (166498296331040).

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

105512243255200 is a wasteful number, since it uses less digits than its factorization.

105512243255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22320591 (or 22320578 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

The spelling of 105512243255200 in words is "one hundred five trillion, five hundred twelve billion, two hundred forty-three million, two hundred fifty-five thousand, two hundred".