105468188600 has 48 divisors (see below), whose sum is σ = 245370753600. Its totient is φ = 42160227840.

The previous prime is 105468188593. The next prime is 105468188621. The reversal of 105468188600 is 6881864501.

It is a super-2 number, since 2×105468188600² (a number of 23 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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145136 + ... + 481664.

It is an arithmetic number, because the mean of its divisors is an integer number (5111890700).

Almost surely, 2^105468188600 is an apocalyptic number.

105468188600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105468188600 is an abundant number, since it is smaller than the sum of its proper divisors (139902565000).

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

105468188600 is a wasteful number, since it uses less digits than its factorization.

105468188600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338112 (or 338103 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 47.

The spelling of 105468188600 in words is "one hundred five billion, four hundred sixty-eight million, one hundred eighty-eight thousand, six hundred".