107450112 has 288 divisors, whose sum is σ = 376750080. Its totient is φ = 26357760.

The previous prime is 107450071. The next prime is 107450113. The reversal of 107450112 is 211054701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107450113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1360089 + ... + 1360167.

It is an arithmetic number, because the mean of its divisors is an integer number (1308160).

Almost surely, 2^107450112 is an apocalyptic number.

107450112 is a gapful number since it is divisible by the number (12) 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 107450112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188375040).

107450112 is an abundant number, since it is smaller than the sum of its proper divisors (269299968).

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

107450112 is a wasteful number, since it uses less digits than its factorization.

107450112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 107450112 is about 10365.8145844888. The cubic root of 107450112 is about 475.4107059097.

The spelling of 107450112 in words is "one hundred seven million, four hundred fifty thousand, one hundred twelve".