105618696 has 64 divisors (see below), whose sum is σ = 274665600. Its totient is φ = 33804288.

The previous prime is 105618679. The next prime is 105618763. The reversal of 105618696 is 696816501.

It is a happy number.

It is a super-2 number, since 2×105618696² = 22310617889480832, which 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, 182760 + ... + 183336.

It is an arithmetic number, because the mean of its divisors is an integer number (4291650).

Almost surely, 2^105618696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105618696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137332800).

105618696 is an abundant number, since it is smaller than the sum of its proper divisors (169046904).

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

105618696 is a wasteful number, since it uses less digits than its factorization.

105618696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 105618696 is about 10277.0956986884. The cubic root of 105618696 is about 472.6941930143.

The spelling of 105618696 in words is "one hundred five million, six hundred eighteen thousand, six hundred ninety-six".