105044593920 has 1152 divisors, whose sum is σ = 426556440576. Its totient is φ = 21488467968.

The previous prime is 105044593909. The next prime is 105044593921. The reversal of 105044593920 is 29395440501.

It is a super-2 number, since 2×105044593920² (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 not an unprimeable number, because it can be changed into a prime (105044593921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1438967004 + ... + 1438967076.

It is an arithmetic number, because the mean of its divisors is an integer number (370274688).

Almost surely, 2^105044593920 is an apocalyptic number.

105044593920 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 105044593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213278220288).

105044593920 is an abundant number, since it is smaller than the sum of its proper divisors (321511846656).

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

105044593920 is a wasteful number, since it uses less digits than its factorization.

105044593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 105044593920 in words is "one hundred five billion, forty-four million, five hundred ninety-three thousand, nine hundred twenty".