105993288200 has 36 divisors (see below), whose sum is σ = 246445100295. Its totient is φ = 42395473600.

The previous prime is 105993288187. The next prime is 105993288221. The reversal of 105993288200 is 2882399501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 5213706436 + 100779581764 = 72206^2 + 317458^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=230210.

It is a super-2 number, since 2×105993288200² (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 8 ways as a sum of consecutive naturals, for example, 4592690 + ... + 4615710.

Almost surely, 2^105993288200 is an apocalyptic number.

105993288200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105993288200 is an abundant number, since it is smaller than the sum of its proper divisors (140451812095).

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

105993288200 is an frugal number, since it uses more digits than its factorization.

105993288200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46058 (or 23028 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 105993288200 in words is "one hundred five billion, nine hundred ninety-three million, two hundred eighty-eight thousand, two hundred".