107028096 has 128 divisors (see below), whose sum is σ = 336355200. Its totient is φ = 29503488.

The previous prime is 107028079. The next prime is 107028127. The reversal of 107028096 is 690820701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×107028096² = 22910026666770432, 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, 77266 + ... + 78638.

It is an arithmetic number, because the mean of its divisors is an integer number (2627775).

Almost surely, 2^107028096 is an apocalyptic number.

107028096 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 107028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168177600).

107028096 is an abundant number, since it is smaller than the sum of its proper divisors (229327104).

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

107028096 is a wasteful number, since it uses less digits than its factorization.

107028096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 107028096 is about 10345.4384150697. The cubic root of 107028096 is about 474.7874890568.

Adding to 107028096 its reverse (690820701), we get a palindrome (797848797).

The spelling of 107028096 in words is "one hundred seven million, twenty-eight thousand, ninety-six".