105948696 has 128 divisors (see below), whose sum is σ = 314565120. Its totient is φ = 29113344.

The previous prime is 105948679. The next prime is 105948707. The reversal of 105948696 is 696849501.

It is a super-2 number, since 2×105948696² = 22450252368200832, which contains 22 as substring.

It is a congruent number.

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, 649911 + ... + 650073.

It is an arithmetic number, because the mean of its divisors is an integer number (2457540).

Almost surely, 2^105948696 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 105948696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157282560).

105948696 is an abundant number, since it is smaller than the sum of its proper divisors (208616424).

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

105948696 is a wasteful number, since it uses less digits than its factorization.

105948696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 105948696 is about 10293.1382969433. The cubic root of 105948696 is about 473.1859838024.

The spelling of 105948696 in words is "one hundred five million, nine hundred forty-eight thousand, six hundred ninety-six".