182106936 has 72 divisors (see below), whose sum is σ = 542145240. Its totient is φ = 55181280.

The previous prime is 182106919. The next prime is 182106937. The reversal of 182106936 is 639601281.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×182106936² = 66325872278616192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 182106936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182106937) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1740 + ... + 19163.

It is an arithmetic number, because the mean of its divisors is an integer number (7529795).

Almost surely, 2^182106936 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 182106936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271072620).

182106936 is an abundant number, since it is smaller than the sum of its proper divisors (360038304).

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

182106936 is a wasteful number, since it uses less digits than its factorization.

182106936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20937 (or 20919 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 182106936 is about 13494.7002930780. The cubic root of 182106936 is about 566.8160802468.

The spelling of 182106936 in words is "one hundred eighty-two million, one hundred six thousand, nine hundred thirty-six".