105553352142200 has 24 divisors (see below), whose sum is σ = 245411543731080. Its totient is φ = 42221340856800.

The previous prime is 105553352142197. The next prime is 105553352142247. The reversal of 105553352142200 is 2241253355501.

It is a super-2 number, since 2×105553352142200² (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 (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 263883380156 + ... + 263883380555.

It is an arithmetic number, because the mean of its divisors is an integer number (10225480988795).

Almost surely, 2^{105553352142200} is an apocalyptic number.

105553352142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105553352142200 is an abundant number, since it is smaller than the sum of its proper divisors (139858191588880).

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

105553352142200 is a wasteful number, since it uses less digits than its factorization.

105553352142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527766760727 (or 527766760718 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 105553352142200 in words is "one hundred five trillion, five hundred fifty-three billion, three hundred fifty-two million, one hundred forty-two thousand, two hundred".