105246668800 has 576 divisors, whose sum is σ = 328432104000. Its totient is φ = 33236582400.

The previous prime is 105246668771. The next prime is 105246668819. The reversal of 105246668800 is 8866642501.

It is a super-2 number, since 2×105246668800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228300570 + ... + 228301030.

It is an arithmetic number, because the mean of its divisors is an integer number (570194625).

Almost surely, 2^105246668800 is an apocalyptic number.

105246668800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105246668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164216052000).

105246668800 is an abundant number, since it is smaller than the sum of its proper divisors (223185435200).

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

105246668800 is an equidigital number, since it uses as much as digits as its factorization.

105246668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 105246668800 in words is "one hundred five billion, two hundred forty-six million, six hundred sixty-eight thousand, eight hundred".