105765273600 has 864 divisors, whose sum is σ = 421274286720. Its totient is φ = 22900899840.

The previous prime is 105765273553. The next prime is 105765273619. The reversal of 105765273600 is 6372567501.

It is a super-2 number, since 2×105765273600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1995571174 + ... + 1995571226.

It is an arithmetic number, because the mean of its divisors is an integer number (487585980).

Almost surely, 2^105765273600 is an apocalyptic number.

105765273600 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 105765273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210637143360).

105765273600 is an abundant number, since it is smaller than the sum of its proper divisors (315509013120).

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

105765273600 is an frugal number, since it uses more digits than its factorization.

105765273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 105765273600 in words is "one hundred five billion, seven hundred sixty-five million, two hundred seventy-three thousand, six hundred".