106407847 has 16 divisors (see below), whose sum is σ = 137858560. Its totient is φ = 79758432.

The previous prime is 106407823. The next prime is 106407869. The reversal of 106407847 is 748704601.

It is not a de Polignac number, because 106407847 - 2²³ = 98019239 is a prime.

It is a super-2 number, since 2×106407847² = 22645259806350818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106407817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29043 + ... + 32500.

It is an arithmetic number, because the mean of its divisors is an integer number (8616160).

Almost surely, 2^106407847 is an apocalyptic number.

106407847 is a deficient number, since it is larger than the sum of its proper divisors (31450713).

106407847 is a wasteful number, since it uses less digits than its factorization.

106407847 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61582.

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 106407847 is about 10315.4179265796. The cubic root of 106407847 is about 473.8685491271.

The spelling of 106407847 in words is "one hundred six million, four hundred seven thousand, eight hundred forty-seven".