86105910 has 128 divisors (see below), whose sum is σ = 245514240. Its totient is φ = 19094400.

The previous prime is 86105897. The next prime is 86105911. The reversal of 86105910 is 1950168.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86105911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194149 + ... + 194591.

It is an arithmetic number, because the mean of its divisors is an integer number (1918080).

Almost surely, 2^86105910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86105910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122757120).

86105910 is an abundant number, since it is smaller than the sum of its proper divisors (159408330).

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

86105910 is a wasteful number, since it uses less digits than its factorization.

86105910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514.

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 86105910 is about 9279.3270230120. The cubic root of 86105910 is about 441.5816185277.

The spelling of 86105910 in words is "eighty-six million, one hundred five thousand, nine hundred ten".