105296976 has 80 divisors (see below), whose sum is σ = 306587520. Its totient is φ = 34594560.

The previous prime is 105296957. The next prime is 105296977. The reversal of 105296976 is 679692501.

It is a happy number.

It is a super-2 number, since 2×105296976² = 22174906309489152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105296977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28956 + ... + 32388.

It is an arithmetic number, because the mean of its divisors is an integer number (3832344).

Almost surely, 2^105296976 is an apocalyptic number.

105296976 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 105296976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153293760).

105296976 is an abundant number, since it is smaller than the sum of its proper divisors (201290544).

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

105296976 is a wasteful number, since it uses less digits than its factorization.

105296976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 105296976 is about 10261.4314790871. The cubic root of 105296976 is about 472.2137545661.

The spelling of 105296976 in words is "one hundred five million, two hundred ninety-six thousand, nine hundred seventy-six".