106827264 has 120 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 35094528.

The previous prime is 106827247. The next prime is 106827283. The reversal of 106827264 is 462728601.

It is a super-2 number, since 2×106827264² = 22824128667451392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446857 + ... + 447095.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 2^106827264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

106827264 is an abundant number, since it is smaller than the sum of its proper divisors (205965216).

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

106827264 is an equidigital number, since it uses as much as digits as its factorization.

106827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 106827264 is about 10335.7275505888. The cubic root of 106827264 is about 474.4903327400.

The spelling of 106827264 in words is "one hundred six million, eight hundred twenty-seven thousand, two hundred sixty-four".