107041440 has 288 divisors, whose sum is σ = 394148160. Its totient is φ = 24330240.

The previous prime is 107041393. The next prime is 107041453. The reversal of 107041440 is 44140701.

It is a super-2 number, since 2×107041440² = 22915739754547200, 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 47 ways as a sum of consecutive naturals, for example, 1103472 + ... + 1103568.

It is an arithmetic number, because the mean of its divisors is an integer number (1368570).

Almost surely, 2^107041440 is an apocalyptic number.

107041440 is a gapful number since it is divisible by the number (10) 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 107041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197074080).

107041440 is an abundant number, since it is smaller than the sum of its proper divisors (287106720).

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

107041440 is a wasteful number, since it uses less digits than its factorization.

107041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 107041440 is about 10346.0833168886. The cubic root of 107041440 is about 474.8072200159.

The spelling of 107041440 in words is "one hundred seven million, forty-one thousand, four hundred forty".