105699418512 has 80 divisors (see below), whose sum is σ = 277840342080. Its totient is φ = 34616582656.

The previous prime is 105699418483. The next prime is 105699418523. The reversal of 105699418512 is 215814996501.

It is a super-2 number, since 2×105699418512² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5578078 + ... + 5596994.

It is an arithmetic number, because the mean of its divisors is an integer number (3473004276).

Almost surely, 2^105699418512 is an apocalyptic number.

105699418512 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 105699418512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138920171040).

105699418512 is an abundant number, since it is smaller than the sum of its proper divisors (172140923568).

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

105699418512 is a wasteful number, since it uses less digits than its factorization.

105699418512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20960 (or 20954 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 105699418512 in words is "one hundred five billion, six hundred ninety-nine million, four hundred eighteen thousand, five hundred twelve".