107068416 has 176 divisors, whose sum is σ = 352149504. Its totient is φ = 28164096.

The previous prime is 107068391. The next prime is 107068433. The reversal of 107068416 is 614860701.

It is a happy number.

It is a super-2 number, since 2×107068416² = 22927291409498112, 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 15 ways as a sum of consecutive naturals, for example, 279361 + ... + 279743.

Almost surely, 2^107068416 is an apocalyptic number.

107068416 is a gapful number since it is divisible by the number (16) 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 107068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176074752).

107068416 is an abundant number, since it is smaller than the sum of its proper divisors (245081088).

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

107068416 is a wasteful number, since it uses less digits than its factorization.

107068416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 107068416 is about 10347.3869165118. The cubic root of 107068416 is about 474.8471027746.

The spelling of 107068416 in words is "one hundred seven million, sixty-eight thousand, four hundred sixteen".