105890895 has 112 divisors (see below), whose sum is σ = 220348800. Its totient is φ = 48288960.

The previous prime is 105890893. The next prime is 105890921. The reversal of 105890895 is 598098501.

It is not a de Polignac number, because 105890895 - 2¹ = 105890893 is a prime.

It is a super-2 number, since 2×105890895² = 22425763287802050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105890895.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105890893) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 761736 + ... + 761874.

It is an arithmetic number, because the mean of its divisors is an integer number (1967400).

Almost surely, 2^105890895 is an apocalyptic number.

105890895 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105890895 is an abundant number, since it is smaller than the sum of its proper divisors (114457905).

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

105890895 is a wasteful number, since it uses less digits than its factorization.

105890895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 105890895 is about 10290.3301696301. The cubic root of 105890895 is about 473.0999182526.

The spelling of 105890895 in words is "one hundred five million, eight hundred ninety thousand, eight hundred ninety-five".