105542325 has 72 divisors (see below), whose sum is σ = 225610560. Its totient is φ = 48232800.

The previous prime is 105542317. The next prime is 105542351. The reversal of 105542325 is 523245501.

It is a happy number.

It is not a de Polignac number, because 105542325 - 2³ = 105542317 is a prime.

It is a super-2 number, since 2×105542325² = 22278364732811250, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31480 + ... + 34670.

It is an arithmetic number, because the mean of its divisors is an integer number (3133480).

Almost surely, 2^105542325 is an apocalyptic number.

105542325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105542325 is an abundant number, since it is smaller than the sum of its proper divisors (120068235).

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

105542325 is a wasteful number, since it uses less digits than its factorization.

105542325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3206 counting only the distinct ones).

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

The square root of 105542325 is about 10273.3794342466. The cubic root of 105542325 is about 472.5802332887.

Adding to 105542325 its reverse (523245501), we get a palindrome (628787826).

The spelling of 105542325 in words is "one hundred five million, five hundred forty-two thousand, three hundred twenty-five".