107014968 has 48 divisors (see below), whose sum is σ = 291709080. Its totient is φ = 35440704.

The previous prime is 107014939. The next prime is 107014979. The reversal of 107014968 is 869410701.

It is a super-2 number, since 2×107014968² = 22904406752082048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6571 + ... + 16037.

Almost surely, 2^107014968 is an apocalyptic number.

107014968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107014968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145854540).

107014968 is an abundant number, since it is smaller than the sum of its proper divisors (184694112).

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

107014968 is a wasteful number, since it uses less digits than its factorization.

107014968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9636 (or 9629 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 107014968 is about 10344.8039130764. The cubic root of 107014968 is about 474.7680758832.

The spelling of 107014968 in words is "one hundred seven million, fourteen thousand, nine hundred sixty-eight".