105105601100800 has 132 divisors (see below), whose sum is σ = 261104741104000. Its totient is φ = 41950239621120.

The previous prime is 105105601100723. The next prime is 105105601100833. The reversal of 105105601100800 is 8001106501501.

It is a super-2 number, since 2×105105601100800² (a number of 29 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 11 ways as a sum of consecutive naturals, for example, 7207201 + ... + 16191199.

Almost surely, 2^{105105601100800} is an apocalyptic number.

105105601100800 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 105105601100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130552370552000).

105105601100800 is an abundant number, since it is smaller than the sum of its proper divisors (155999140003200).

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

105105601100800 is an equidigital number, since it uses as much as digits as its factorization.

105105601100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8984486 (or 8984463 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 28.

The spelling of 105105601100800 in words is "one hundred five trillion, one hundred five billion, six hundred one million, one hundred thousand, eight hundred".