105253520 has 40 divisors (see below), whose sum is σ = 255358656. Its totient is φ = 40270208.

The previous prime is 105253481. The next prime is 105253523. The reversal of 105253520 is 25352501.

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

It is a super-2 number, since 2×105253520² = 22156606944780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (105253523) 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, 26762 + ... + 30441.

Almost surely, 2^105253520 is an apocalyptic number.

105253520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105253520 is an abundant number, since it is smaller than the sum of its proper divisors (150105136).

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

105253520 is a wasteful number, since it uses less digits than its factorization.

105253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57239 (or 57233 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 105253520 is about 10259.3138172102. The cubic root of 105253520 is about 472.1487848481.

The spelling of 105253520 in words is "one hundred five million, two hundred fifty-three thousand, five hundred twenty".