106610280 has 96 divisors (see below), whose sum is σ = 372068640. Its totient is φ = 24366720.

The previous prime is 106610269. The next prime is 106610297. The reversal of 106610280 is 82016601.

It is a super-2 number, since 2×106610280² = 22731503603356800, 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 106610280.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3186 + ... + 14945.

It is an arithmetic number, because the mean of its divisors is an integer number (3875715).

Almost surely, 2^106610280 is an apocalyptic number.

106610280 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 106610280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186034320).

106610280 is an abundant number, since it is smaller than the sum of its proper divisors (265458360).

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

106610280 is a wasteful number, since it uses less digits than its factorization.

106610280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18159 (or 18148 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 106610280 is about 10325.2254212681. The cubic root of 106610280 is about 474.1688586370.

Adding to 106610280 its reverse (82016601), we get a palindrome (188626881).

The spelling of 106610280 in words is "one hundred six million, six hundred ten thousand, two hundred eighty".