106820256 has 96 divisors (see below), whose sum is σ = 290727360. Its totient is φ = 34320384.

The previous prime is 106820191. The next prime is 106820317. The reversal of 106820256 is 652028601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106820256² = 22821134183811072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 466350 + ... + 466578.

It is an arithmetic number, because the mean of its divisors is an integer number (3028410).

Almost surely, 2^106820256 is an apocalyptic number.

106820256 is a gapful number since it is divisible by the number (16) 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 106820256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145363680).

106820256 is an abundant number, since it is smaller than the sum of its proper divisors (183907104).

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

106820256 is a wasteful number, since it uses less digits than its factorization.

106820256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106820256 is about 10335.3885268044. The cubic root of 106820256 is about 474.4799567965.

Adding to 106820256 its reverse (652028601), we get a palindrome (758848857).

The spelling of 106820256 in words is "one hundred six million, eight hundred twenty thousand, two hundred fifty-six".