106964876 has 24 divisors (see below), whose sum is σ = 196938000. Its totient is φ = 50759744.

The previous prime is 106964873. The next prime is 106964899. The reversal of 106964876 is 678469601.

It is a happy number.

It is a super-2 number, since 2×106964876² = 22882969395390752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106964876.

It is not an unprimeable number, because it can be changed into a prime (106964873) 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 7 ways as a sum of consecutive naturals, for example, 971 + ... + 14658.

It is an arithmetic number, because the mean of its divisors is an integer number (8205750).

Almost surely, 2^106964876 is an apocalyptic number.

It is an amenable number.

106964876 is a deficient number, since it is larger than the sum of its proper divisors (89973124).

106964876 is a wasteful number, since it uses less digits than its factorization.

106964876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15721 (or 15719 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 106964876 is about 10342.3825108144. The cubic root of 106964876 is about 474.6939872003.

The spelling of 106964876 in words is "one hundred six million, nine hundred sixty-four thousand, eight hundred seventy-six".