106314360 has 64 divisors (see below), whose sum is σ = 321425280. Its totient is φ = 28129920.

The previous prime is 106314359. The next prime is 106314389. The reversal of 106314360 is 63413601.

It is a super-2 number, since 2×106314360² = 22605486284419200, 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 106314360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12339 + ... + 19101.

It is an arithmetic number, because the mean of its divisors is an integer number (5022270).

Almost surely, 2^106314360 is an apocalyptic number.

106314360 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 106314360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160712640).

106314360 is an abundant number, since it is smaller than the sum of its proper divisors (215110920).

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

106314360 is a wasteful number, since it uses less digits than its factorization.

106314360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6908 (or 6904 counting only the distinct ones).

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

The square root of 106314360 is about 10310.8855099841. The cubic root of 106314360 is about 473.7297325192.

Adding to 106314360 its reverse (63413601), we get a palindrome (169727961).

The spelling of 106314360 in words is "one hundred six million, three hundred fourteen thousand, three hundred sixty".