107542016 has 80 divisors (see below), whose sum is σ = 226860480. Its totient is φ = 50872320.

The previous prime is 107542013. The next prime is 107542037. The reversal of 107542016 is 610245701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107542013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 986570 + ... + 986678.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756).

Almost surely, 2^107542016 is an apocalyptic number.

107542016 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 107542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

107542016 is an abundant number, since it is smaller than the sum of its proper divisors (119318464).

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

107542016 is an equidigital number, since it uses as much as digits as its factorization.

107542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 107542016 is about 10370.2466701617. The cubic root of 107542016 is about 475.5462097069.

Adding to 107542016 its reverse (610245701), we get a palindrome (717787717).

The spelling of 107542016 in words is "one hundred seven million, five hundred forty-two thousand, sixteen".