107117028 has 72 divisors (see below), whose sum is σ = 284933376. Its totient is φ = 33883200.

The previous prime is 107116993. The next prime is 107117047. The reversal of 107117028 is 820711701.

It is a super-2 number, since 2×107117028² = 22948115375105568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107116992 and 107117010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58243 + ... + 60053.

It is an arithmetic number, because the mean of its divisors is an integer number (3957408).

Almost surely, 2^107117028 is an apocalyptic number.

107117028 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 107117028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142466688).

107117028 is an abundant number, since it is smaller than the sum of its proper divisors (177816348).

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

107117028 is a wasteful number, since it uses less digits than its factorization.

107117028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 107117028 is about 10349.7356487980. The cubic root of 107117028 is about 474.9189564411.

Adding to 107117028 its reverse (820711701), we get a palindrome (927828729).

The spelling of 107117028 in words is "one hundred seven million, one hundred seventeen thousand, twenty-eight".