10105662 has 48 divisors (see below), whose sum is σ = 24172560. Its totient is φ = 2806272.

The previous prime is 10105661. The next prime is 10105709. The reversal of 10105662 is 26650101.

It is a happy number.

10105662 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10414 + ... + 11342.

It is an arithmetic number, because the mean of its divisors is an integer number (503595).

Almost surely, 2^10105662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12086280).

10105662 is an abundant number, since it is smaller than the sum of its proper divisors (14066898).

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

10105662 is a wasteful number, since it uses less digits than its factorization.

10105662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10105662 is about 3178.9403895009. The cubic root of 10105662 is about 216.1996182763.

Adding to 10105662 its reverse (26650101), we get a palindrome (36755763).

The spelling of 10105662 in words is "ten million, one hundred five thousand, six hundred sixty-two".