106182090 has 160 divisors (see below), whose sum is σ = 332728704. Its totient is φ = 23794560.

The previous prime is 106182067. The next prime is 106182091. The reversal of 106182090 is 90281601.

It is a super-2 number, since 2×106182090² = 22549272473536200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106182091) 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 79 ways as a sum of consecutive naturals, for example, 345717 + ... + 346023.

Almost surely, 2^106182090 is an apocalyptic number.

106182090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106182090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166364352).

106182090 is an abundant number, since it is smaller than the sum of its proper divisors (226546614).

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

106182090 is a wasteful number, since it uses less digits than its factorization.

106182090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 106182090 is about 10304.4694186552. The cubic root of 106182090 is about 473.5331888734.

The spelling of 106182090 in words is "one hundred six million, one hundred eighty-two thousand, ninety".