105849195120 has 160 divisors (see below), whose sum is σ = 364818912000. Its totient is φ = 28208860416.

The previous prime is 105849195071. The next prime is 105849195143. The reversal of 105849195120 is 21591948501.

105849195120 is a `hidden beast` number, since 1 + 0 + 58 + 491 + 95 + 1 + 20 = 666.

It is a super-2 number, since 2×105849195120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3655419 + ... + 3684261.

It is an arithmetic number, because the mean of its divisors is an integer number (2280118200).

Almost surely, 2^105849195120 is an apocalyptic number.

105849195120 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 105849195120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182409456000).

105849195120 is an abundant number, since it is smaller than the sum of its proper divisors (258969716880).

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

105849195120 is a wasteful number, since it uses less digits than its factorization.

105849195120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30564 (or 30552 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 105849195120 in words is "one hundred five billion, eight hundred forty-nine million, one hundred ninety-five thousand, one hundred twenty".