105268720 has 40 divisors (see below), whose sum is σ = 249966144. Its totient is φ = 41210112.

The previous prime is 105268717. The next prime is 105268727. The reversal of 105268720 is 27862501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105268720² = 22163006820876800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105268727) 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, 10239 + ... + 17758.

Almost surely, 2^105268720 is an apocalyptic number.

105268720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105268720 is an abundant number, since it is smaller than the sum of its proper divisors (144697424).

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

105268720 is a wasteful number, since it uses less digits than its factorization.

105268720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28057 (or 28051 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 105268720 is about 10260.0545807515. The cubic root of 105268720 is about 472.1715119300.

The spelling of 105268720 in words is "one hundred five million, two hundred sixty-eight thousand, seven hundred twenty".