106479891 has 48 divisors (see below), whose sum is σ = 190008000. Its totient is φ = 57238272.

The previous prime is 106479871. The next prime is 106479929. The reversal of 106479891 is 198974601.

It is a happy number.

It is not a de Polignac number, because 106479891 - 2⁵ = 106479859 is a prime.

It is a super-2 number, since 2×106479891² = 22675934374743762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106479871) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 51465 + ... + 53493.

It is an arithmetic number, because the mean of its divisors is an integer number (3958500).

Almost surely, 2^106479891 is an apocalyptic number.

106479891 is a deficient number, since it is larger than the sum of its proper divisors (83528109).

106479891 is a wasteful number, since it uses less digits than its factorization.

106479891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 106479891 is about 10318.9093900470. The cubic root of 106479891 is about 473.9754700760.

The spelling of 106479891 in words is "one hundred six million, four hundred seventy-nine thousand, eight hundred ninety-one".