106968036 has 96 divisors (see below), whose sum is σ = 296353792. Its totient is φ = 29393280.

The previous prime is 106968023. The next prime is 106968041. The reversal of 106968036 is 630869601.

It is a happy number.

It is a super-2 number, since 2×106968036² = 22884321451394592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106967985 and 106968003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394581 + ... + 394851.

Almost surely, 2^106968036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106968036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176896).

106968036 is an abundant number, since it is smaller than the sum of its proper divisors (189385756).

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

106968036 is a wasteful number, since it uses less digits than its factorization.

106968036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 106968036 is about 10342.5352791276. The cubic root of 106968036 is about 474.6986616887.

The spelling of 106968036 in words is "one hundred six million, nine hundred sixty-eight thousand, thirty-six".