105264680 has 64 divisors (see below), whose sum is σ = 252123840. Its totient is φ = 39416832.

The previous prime is 105264647. The next prime is 105264683. The reversal of 105264680 is 86462501.

It is a super-2 number, since 2×105264680² = 22161305711004800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105264683) 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, 192167 + ... + 192713.

It is an arithmetic number, because the mean of its divisors is an integer number (3939435).

Almost surely, 2^105264680 is an apocalyptic number.

105264680 is a gapful number since it is divisible by the number (10) 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 105264680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126061920).

105264680 is an abundant number, since it is smaller than the sum of its proper divisors (146859160).

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

105264680 is a wasteful number, since it uses less digits than its factorization.

105264680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 105264680 is about 10259.8576988182. The cubic root of 105264680 is about 472.1654715243.

The spelling of 105264680 in words is "one hundred five million, two hundred sixty-four thousand, six hundred eighty".