105168896 has 90 divisors (see below), whose sum is σ = 246538908. Its totient is φ = 44728320.

The previous prime is 105168887. The next prime is 105168923. The reversal of 105168896 is 698861501.

It is a super-2 number, since 2×105168896² = 22120993371717632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 802751 + ... + 802881.

Almost surely, 2^105168896 is an apocalyptic number.

105168896 is a gapful number since it is divisible by the number (16) 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 105168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123269454).

105168896 is an abundant number, since it is smaller than the sum of its proper divisors (141370012).

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

105168896 is an frugal number, since it uses more digits than its factorization.

105168896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 105168896 is about 10255.1887354646. The cubic root of 105168896 is about 472.0222147928.

The spelling of 105168896 in words is "one hundred five million, one hundred sixty-eight thousand, eight hundred ninety-six".