107494128 has 300 divisors, whose sum is σ = 386923152. Its totient is φ = 28200960.

The previous prime is 107494117. The next prime is 107494129. The reversal of 107494128 is 821494701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107494092 and 107494101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107494129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2621788 + ... + 2621828.

Almost surely, 2^107494128 is an apocalyptic number.

107494128 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 107494128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193461576).

107494128 is an abundant number, since it is smaller than the sum of its proper divisors (279429024).

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

107494128 is a wasteful number, since it uses less digits than its factorization.

107494128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 107494128 is about 10367.9374998116. The cubic root of 107494128 is about 475.4756129956.

The spelling of 107494128 in words is "one hundred seven million, four hundred ninety-four thousand, one hundred twenty-eight".