105113724672 has 288 divisors, whose sum is σ = 321019324416. Its totient is φ = 30239539200.

The previous prime is 105113724601. The next prime is 105113724731. The reversal of 105113724672 is 276427311501.

It is a super-2 number, since 2×105113724672² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105113724672.

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 31 ways as a sum of consecutive naturals, for example, 13876278 + ... + 13883850.

It is an arithmetic number, because the mean of its divisors is an integer number (1114650432).

Almost surely, 2^105113724672 is an apocalyptic number.

105113724672 is a gapful number since it is divisible by the number (12) 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 105113724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160509662208).

105113724672 is an abundant number, since it is smaller than the sum of its proper divisors (215905599744).

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

105113724672 is a wasteful number, since it uses less digits than its factorization.

105113724672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 105113724672 in words is "one hundred five billion, one hundred thirteen million, seven hundred twenty-four thousand, six hundred seventy-two".