82400106 has 16 divisors (see below), whose sum is σ = 164900448. Its totient is φ = 27450000.

The previous prime is 82400089. The next prime is 82400141. The reversal of 82400106 is 60100428.

It is a super-2 number, since 2×82400106² = 13579554937622472, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10456 + ... + 16556.

It is an arithmetic number, because the mean of its divisors is an integer number (10306278).

Almost surely, 2^82400106 is an apocalyptic number.

82400106 is an abundant number, since it is smaller than the sum of its proper divisors (82500342).

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

82400106 is a wasteful number, since it uses less digits than its factorization.

82400106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82400106 is about 9077.4504129739. The cubic root of 82400106 is about 435.1536093783.

The spelling of 82400106 in words is "eighty-two million, four hundred thousand, one hundred six".