105683325 has 48 divisors (see below), whose sum is σ = 194291136. Its totient is φ = 50252800.

The previous prime is 105683323. The next prime is 105683327. The reversal of 105683325 is 523386501.

It is an interprime number because it is at equal distance from previous prime (105683323) and next prime (105683327).

It is not a de Polignac number, because 105683325 - 2¹ = 105683323 is a prime.

It is a super-2 number, since 2×105683325² = 22337930366111250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105683323) 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, 42517 + ... + 44933.

It is an arithmetic number, because the mean of its divisors is an integer number (4047732).

Almost surely, 2^105683325 is an apocalyptic number.

105683325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105683325 is a deficient number, since it is larger than the sum of its proper divisors (88607811).

105683325 is a wasteful number, since it uses less digits than its factorization.

105683325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 105683325 is about 10280.2395400107. The cubic root of 105683325 is about 472.7905885865.

The spelling of 105683325 in words is "one hundred five million, six hundred eighty-three thousand, three hundred twenty-five".