106584181 has 6 divisors (see below), whose sum is σ = 117154646. Its totient is φ = 96894600.

The previous prime is 106584151. The next prime is 106584187. The reversal of 106584181 is 181485601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99321156 + 7263025 = 9966^2 + 2695^2 .

It is a de Polignac number, because none of the positive numbers 2^k-106584181 is a prime.

It is a super-2 number, since 2×106584181² = 22720375278881522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106584187) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 440310 + ... + 440551.

Almost surely, 2^106584181 is an apocalyptic number.

106584181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106584181 is a deficient number, since it is larger than the sum of its proper divisors (10570465).

106584181 is an equidigital number, since it uses as much as digits as its factorization.

106584181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880883 (or 880872 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 106584181 is about 10323.9614974098. The cubic root of 106584181 is about 474.1301621090.

The spelling of 106584181 in words is "one hundred six million, five hundred eighty-four thousand, one hundred eighty-one".