106964972 has 12 divisors (see below), whose sum is σ = 187285056. Its totient is φ = 53454960.

The previous prime is 106964953. The next prime is 106964981. The reversal of 106964972 is 279469601.

It is a super-2 number, since 2×106964972² = 22883010469921568, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3653 + ... + 15075.

It is an arithmetic number, because the mean of its divisors is an integer number (15607088).

Almost surely, 2^106964972 is an apocalyptic number.

It is an amenable number.

106964972 is a deficient number, since it is larger than the sum of its proper divisors (80320084).

106964972 is a wasteful number, since it uses less digits than its factorization.

106964972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13768 (or 13766 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 106964972 is about 10342.3871519103. The cubic root of 106964972 is about 474.6941292114.

The spelling of 106964972 in words is "one hundred six million, nine hundred sixty-four thousand, nine hundred seventy-two".