107442000 has 240 divisors, whose sum is σ = 386260992. Its totient is φ = 27820800.

The previous prime is 107441987. The next prime is 107442007. The reversal of 107442000 is 244701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107442007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845937 + ... + 846063.

Almost surely, 2^107442000 is an apocalyptic number.

107442000 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 107442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193130496).

107442000 is an abundant number, since it is smaller than the sum of its proper divisors (278818992).

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

107442000 is a wasteful number, since it uses less digits than its factorization.

107442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 107442000 is about 10365.4232909226. The cubic root of 107442000 is about 475.3987418189.

Adding to 107442000 its reverse (244701), we get a palindrome (107686701).

The spelling of 107442000 in words is "one hundred seven million, four hundred forty-two thousand".