105891296 has 48 divisors (see below), whose sum is σ = 246486240. Its totient is φ = 43814400.

The previous prime is 105891271. The next prime is 105891301. The reversal of 105891296 is 692198501.

It is a happy number.

It is a super-2 number, since 2×105891296² = 22425933137119232, 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 7 ways as a sum of consecutive naturals, for example, 1655 + ... + 14646.

It is an arithmetic number, because the mean of its divisors is an integer number (5135130).

Almost surely, 2^105891296 is an apocalyptic number.

105891296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105891296 is an abundant number, since it is smaller than the sum of its proper divisors (140594944).

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

105891296 is a wasteful number, since it uses less digits than its factorization.

105891296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16347 (or 16339 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 105891296 is about 10290.3496539233. The cubic root of 105891296 is about 473.1005154485.

The spelling of 105891296 in words is "one hundred five million, eight hundred ninety-one thousand, two hundred ninety-six".