105049093120 has 44 divisors (see below), whose sum is σ = 251994731364. Its totient is φ = 42019635200.

The previous prime is 105049093117. The next prime is 105049093139. The reversal of 105049093120 is 21390940501.

It can be written as a sum of positive squares in 2 ways, for example, as 13080039424 + 91969053696 = 114368^2 + 303264^2 .

It is a super-2 number, since 2×105049093120² (a number of 23 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 3 ways as a sum of consecutive naturals, for example, 10253581 + ... + 10263820.

Almost surely, 2^105049093120 is an apocalyptic number.

105049093120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105049093120 is an abundant number, since it is smaller than the sum of its proper divisors (146945638244).

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

105049093120 is an equidigital number, since it uses as much as digits as its factorization.

105049093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20517426 (or 20517408 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 105049093120 in words is "one hundred five billion, forty-nine million, ninety-three thousand, one hundred twenty".