106077609 has 24 divisors (see below), whose sum is σ = 167918400. Its totient is φ = 63995040.

The previous prime is 106077599. The next prime is 106077611. The reversal of 106077609 is 906770601.

It is not a de Polignac number, because 106077609 - 2⁷ = 106077481 is a prime.

It is a super-2 number, since 2×106077609² = 22504918262313762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106077659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20332 + ... + 25010.

It is an arithmetic number, because the mean of its divisors is an integer number (6996600).

Almost surely, 2^106077609 is an apocalyptic number.

It is an amenable number.

106077609 is a deficient number, since it is larger than the sum of its proper divisors (61840791).

106077609 is a wasteful number, since it uses less digits than its factorization.

106077609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 106077609 is about 10299.3984775811. The cubic root of 106077609 is about 473.3778222527.

The spelling of 106077609 in words is "one hundred six million, seventy-seven thousand, six hundred nine".