105120822060 has 96 divisors (see below), whose sum is σ = 337592371200. Its totient is φ = 27127949760.

The previous prime is 105120822047. The next prime is 105120822109. The reversal of 105120822060 is 60228021501.

It is a happy number.

105120822060 is a `hidden beast` number, since 10 + 512 + 0 + 82 + 2 + 0 + 60 = 666.

It is a super-2 number, since 2×105120822060² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3123070 + ... + 3156549.

It is an arithmetic number, because the mean of its divisors is an integer number (3516587200).

Almost surely, 2^105120822060 is an apocalyptic number.

105120822060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105120822060 is an abundant number, since it is smaller than the sum of its proper divisors (232471549140).

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

105120822060 is a wasteful number, since it uses less digits than its factorization.

105120822060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279668 (or 6279660 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 105120822060 its reverse (60228021501), we get a palindrome (165348843561).

The spelling of 105120822060 in words is "one hundred five billion, one hundred twenty million, eight hundred twenty-two thousand, sixty".