107017416 has 128 divisors (see below), whose sum is σ = 329270400. Its totient is φ = 31933440.

The previous prime is 107017409. The next prime is 107017433. The reversal of 107017416 is 614710701.

It is a super-2 number, since 2×107017416² = 22905454654634112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 107017416.

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, 173140 + ... + 173756.

It is an arithmetic number, because the mean of its divisors is an integer number (2572425).

Almost surely, 2^107017416 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 107017416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164635200).

107017416 is an abundant number, since it is smaller than the sum of its proper divisors (222252984).

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

107017416 is a wasteful number, since it uses less digits than its factorization.

107017416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 107017416 is about 10344.9222326705. The cubic root of 107017416 is about 474.7716960104.

The spelling of 107017416 in words is "one hundred seven million, seventeen thousand, four hundred sixteen".