107249016 has 64 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 30464640.

The previous prime is 107248997. The next prime is 107249027. The reversal of 107249016 is 610942701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28645 + ... + 32171.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^107249016 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 107249016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

107249016 is an abundant number, since it is smaller than the sum of its proper divisors (200957064).

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

107249016 is a wasteful number, since it uses less digits than its factorization.

107249016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 107249016 is about 10356.1100805273. The cubic root of 107249016 is about 475.1139390567.

The spelling of 107249016 in words is "one hundred seven million, two hundred forty-nine thousand, sixteen".