105234525 has 48 divisors (see below), whose sum is σ = 210909120. Its totient is φ = 51019200.

The previous prime is 105234509. The next prime is 105234529. The reversal of 105234525 is 525432501.

It is a happy number.

105234525 is a `hidden beast` number, since 105 + 2 + 34 + 525 = 666.

It is not a de Polignac number, because 105234525 - 2⁴ = 105234509 is a prime.

It is a super-2 number, since 2×105234525² = 22148610503951250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105234529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339 + ... + 14511.

It is an arithmetic number, because the mean of its divisors is an integer number (4393940).

Almost surely, 2^105234525 is an apocalyptic number.

105234525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105234525 is an abundant number, since it is smaller than the sum of its proper divisors (105674595).

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

105234525 is a wasteful number, since it uses less digits than its factorization.

105234525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14203 (or 14192 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 105234525 is about 10258.3880312650. The cubic root of 105234525 is about 472.1203803959.

The spelling of 105234525 in words is "one hundred five million, two hundred thirty-four thousand, five hundred twenty-five".