105264640 has 80 divisors (see below), whose sum is σ = 271888848. Its totient is φ = 38854656.

The previous prime is 105264637. The next prime is 105264641. The reversal of 105264640 is 46462501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105264640² = 22161288868659200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105264599 and 105264608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105264641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31699 + ... + 34861.

Almost surely, 2^105264640 is an apocalyptic number.

105264640 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 105264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135944424).

105264640 is an abundant number, since it is smaller than the sum of its proper divisors (166624208).

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

105264640 is an equidigital number, since it uses as much as digits as its factorization.

105264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 105264640 is about 10259.8557494733. The cubic root of 105264640 is about 472.1654117175.

The spelling of 105264640 in words is "one hundred five million, two hundred sixty-four thousand, six hundred forty".