105497798112 has 180 divisors, whose sum is σ = 360922217040. Its totient is φ = 30142191744.

The previous prime is 105497798069. The next prime is 105497798143. The reversal of 105497798112 is 211897794501.

105497798112 is a `hidden beast` number, since 1 + 0 + 5 + 497 + 79 + 81 + 1 + 2 = 666.

It is a super-2 number, since 2×105497798112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 288312 + ... + 542327.

It is an arithmetic number, because the mean of its divisors is an integer number (2005123428).

Almost surely, 2^105497798112 is an apocalyptic number.

105497798112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105497798112 is an abundant number, since it is smaller than the sum of its proper divisors (255424418928).

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

105497798112 is an equidigital number, since it uses as much as digits as its factorization.

105497798112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830675 (or 830651 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 105497798112 in words is "one hundred five billion, four hundred ninety-seven million, seven hundred ninety-eight thousand, one hundred twelve".