105118212800 has 168 divisors, whose sum is σ = 265136540592. Its totient is φ = 40997376000.

The previous prime is 105118212767. The next prime is 105118212847. The reversal of 105118212800 is 8212811501.

It is a super-2 number, since 2×105118212800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56483870 + ... + 56485730.

It is an arithmetic number, because the mean of its divisors is an integer number (1578193694).

Almost surely, 2^105118212800 is an apocalyptic number.

105118212800 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 105118212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132568270296).

105118212800 is an abundant number, since it is smaller than the sum of its proper divisors (160018327792).

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

105118212800 is a wasteful number, since it uses less digits than its factorization.

105118212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 29.

The spelling of 105118212800 in words is "one hundred five billion, one hundred eighteen million, two hundred twelve thousand, eight hundred".