106458561 has 12 divisors (see below), whose sum is σ = 167753040. Its totient is φ = 64520280.

The previous prime is 106458553. The next prime is 106458587. The reversal of 106458561 is 165854601.

106458561 is a `hidden beast` number, since 1 + 0 + 645 + 8 + 5 + 6 + 1 = 666.

It is not a de Polignac number, because 106458561 - 2³ = 106458553 is a prime.

It is a super-2 number, since 2×106458561² = 22666850420381442, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106458551) 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 11 ways as a sum of consecutive naturals, for example, 537571 + ... + 537768.

It is an arithmetic number, because the mean of its divisors is an integer number (13979420).

Almost surely, 2^106458561 is an apocalyptic number.

106458561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106458561 is a deficient number, since it is larger than the sum of its proper divisors (61294479).

106458561 is a wasteful number, since it uses less digits than its factorization.

106458561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075356 (or 1075353 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 106458561 is about 10317.8757988260. The cubic root of 106458561 is about 473.9438191172.

The spelling of 106458561 in words is "one hundred six million, four hundred fifty-eight thousand, five hundred sixty-one".