106106964 has 24 divisors (see below), whose sum is σ = 250037088. Its totient is φ = 35018400.

The previous prime is 106106947. The next prime is 106106971. The reversal of 106106964 is 469601601.

It is a super-2 number, since 2×106106964² = 22517375618594592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42562 + ... + 44985.

It is an arithmetic number, because the mean of its divisors is an integer number (10418212).

Almost surely, 2^106106964 is an apocalyptic number.

It is an amenable number.

106106964 is an abundant number, since it is smaller than the sum of its proper divisors (143930124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106106964 is a wasteful number, since it uses less digits than its factorization.

106106964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87655 (or 87653 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 106106964 is about 10300.8234622286. The cubic root of 106106964 is about 473.4214843867.

The spelling of 106106964 in words is "one hundred six million, one hundred six thousand, nine hundred sixty-four".