106072182 has 48 divisors (see below), whose sum is σ = 241364448. Its totient is φ = 33601920.

The previous prime is 106072177. The next prime is 106072217. The reversal of 106072182 is 281270601.

It is a super-2 number, since 2×106072182² = 22502615588482248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70882 + ... + 72362.

It is an arithmetic number, because the mean of its divisors is an integer number (5028426).

Almost surely, 2^106072182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106072182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120682224).

106072182 is an abundant number, since it is smaller than the sum of its proper divisors (135292266).

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

106072182 is a wasteful number, since it uses less digits than its factorization.

106072182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 106072182 is about 10299.1350122231. The cubic root of 106072182 is about 473.3697493418.

The spelling of 106072182 in words is "one hundred six million, seventy-two thousand, one hundred eighty-two".