106182456 has 96 divisors (see below), whose sum is σ = 285994800. Its totient is φ = 32793600.

The previous prime is 106182451. The next prime is 106182463. The reversal of 106182456 is 654281601.

It is a super-2 number, since 2×106182456² = 22549427924383872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106182451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1740666 + ... + 1740726.

Almost surely, 2^106182456 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 106182456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142997400).

106182456 is an abundant number, since it is smaller than the sum of its proper divisors (179812344).

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

106182456 is a wasteful number, since it uses less digits than its factorization.

106182456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 106182456 is about 10304.4871779240. The cubic root of 106182456 is about 473.5337329481.

The spelling of 106182456 in words is "one hundred six million, one hundred eighty-two thousand, four hundred fifty-six".