106026360 has 128 divisors (see below), whose sum is σ = 354585600. Its totient is φ = 25141760.

The previous prime is 106026353. The next prime is 106026367. The reversal of 106026360 is 63620601.

It is an interprime number because it is at equal distance from previous prime (106026353) and next prime (106026367).

It is a super-2 number, since 2×106026360² = 22483178029699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106026360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106026367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61186 + ... + 62894.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2^106026360 is an apocalyptic number.

106026360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106026360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

106026360 is an abundant number, since it is smaller than the sum of its proper divisors (248559240).

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

106026360 is a wasteful number, since it uses less digits than its factorization.

106026360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 106026360 is about 10296.9102161765. The cubic root of 106026360 is about 473.3015760395.

Adding to 106026360 its reverse (63620601), we get a palindrome (169646961).

The spelling of 106026360 in words is "one hundred six million, twenty-six thousand, three hundred sixty".