105842525 has 24 divisors (see below), whose sum is σ = 138824448. Its totient is φ = 79920000.

The previous prime is 105842497. The next prime is 105842549. The reversal of 105842525 is 525248501.

It is not a de Polignac number, because 105842525 - 2¹⁸ = 105580381 is a prime.

It is a super-2 number, since 2×105842525² = 22405280196751250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105842491 and 105842500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30110 + ... + 33440.

It is an arithmetic number, because the mean of its divisors is an integer number (5784352).

Almost surely, 2^105842525 is an apocalyptic number.

It is an amenable number.

105842525 is a deficient number, since it is larger than the sum of its proper divisors (32981923).

105842525 is a wasteful number, since it uses less digits than its factorization.

105842525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The square root of 105842525 is about 10287.9796364495. The cubic root of 105842525 is about 473.0278713647.

Adding to 105842525 its product of nonzero digits (16000), we get a triangular number (105858525 = T₁₄₅₅₀).

The spelling of 105842525 in words is "one hundred five million, eight hundred forty-two thousand, five hundred twenty-five".