105325638 has 32 divisors (see below), whose sum is σ = 235412352. Its totient is φ = 31137600.

The previous prime is 105325621. The next prime is 105325639. The reversal of 105325638 is 836523501.

It is a super-2 number, since 2×105325638² = 22186980040214088, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105325599 and 105325608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105325639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16756 + ... + 22167.

It is an arithmetic number, because the mean of its divisors is an integer number (7356636).

Almost surely, 2^105325638 is an apocalyptic number.

105325638 is an abundant number, since it is smaller than the sum of its proper divisors (130086714).

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

105325638 is a wasteful number, since it uses less digits than its factorization.

105325638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38980.

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

The square root of 105325638 is about 10262.8279728348. The cubic root of 105325638 is about 472.2565964510.

The spelling of 105325638 in words is "one hundred five million, three hundred twenty-five thousand, six hundred thirty-eight".