105840525 has 36 divisors (see below), whose sum is σ = 200434592. Its totient is φ = 48276480.

The previous prime is 105840499. The next prime is 105840547. The reversal of 105840525 is 525048501.

It is not a de Polignac number, because 105840525 - 2¹² = 105836429 is a prime.

It is a super-2 number, since 2×105840525² = 22404433464551250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105840492 and 105840501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235501 + ... + 235949.

Almost surely, 2^105840525 is an apocalyptic number.

105840525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105840525 is a deficient number, since it is larger than the sum of its proper divisors (94594067).

105840525 is an frugal number, since it uses more digits than its factorization.

105840525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 105840525 is about 10287.8824351759. The cubic root of 105840525 is about 473.0248919016.

The spelling of 105840525 in words is "one hundred five million, eight hundred forty thousand, five hundred twenty-five".