106613280 has 384 divisors, whose sum is σ = 413683200. Its totient is φ = 25546752.

The previous prime is 106613279. The next prime is 106613291. The reversal of 106613280 is 82316601.

It is a super-2 number, since 2×106613280² = 22732782944716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2881422 + ... + 2881458.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^106613280 is an apocalyptic number.

106613280 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 106613280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

106613280 is an abundant number, since it is smaller than the sum of its proper divisors (307069920).

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

106613280 is a wasteful number, since it uses less digits than its factorization.

106613280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106613280 is about 10325.3706955247. The cubic root of 106613280 is about 474.1733062795.

Adding to 106613280 its reverse (82316601), we get a palindrome (188929881).

The spelling of 106613280 in words is "one hundred six million, six hundred thirteen thousand, two hundred eighty".