105508540321200 has 240 divisors, whose sum is σ = 379178197232640. Its totient is φ = 27862449189120.

The previous prime is 105508540321187. The next prime is 105508540321201. The reversal of 105508540321200 is 2123045805501.

105508540321200 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 85 + 4 + 0 + 321 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105508540321200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105508540321201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46311432 + ... + 48536231.

It is an arithmetic number, because the mean of its divisors is an integer number (1579909155136).

Almost surely, 2^{105508540321200} is an apocalyptic number.

105508540321200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105508540321200 is an abundant number, since it is smaller than the sum of its proper divisors (273669656911440).

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

105508540321200 is a wasteful number, since it uses less digits than its factorization.

105508540321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94847793 (or 94847776 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 105508540321200 in words is "one hundred five trillion, five hundred eight billion, five hundred forty million, three hundred twenty-one thousand, two hundred".