106585092 has 48 divisors (see below), whose sum is σ = 285868800. Its totient is φ = 34302240.

The previous prime is 106585069. The next prime is 106585111. The reversal of 106585092 is 290585601.

It is a happy number.

It is a super-2 number, since 2×106585092² = 22720763673296928, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13884 + ... + 20147.

It is an arithmetic number, because the mean of its divisors is an integer number (5955600).

Almost surely, 2^106585092 is an apocalyptic number.

106585092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106585092 is an abundant number, since it is smaller than the sum of its proper divisors (179283708).

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

106585092 is a wasteful number, since it uses less digits than its factorization.

106585092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34073 (or 34065 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 106585092 is about 10324.0056179760. The cubic root of 106585092 is about 474.1315129391.

The spelling of 106585092 in words is "one hundred six million, five hundred eighty-five thousand, ninety-two".