107285340 has 48 divisors (see below), whose sum is σ = 313463808. Its totient is φ = 27365184.

The previous prime is 107285333. The next prime is 107285341. The reversal of 107285340 is 43582701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 107285298 and 107285307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107285341) 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 15 ways as a sum of consecutive naturals, for example, 37492 + ... + 40251.

It is an arithmetic number, because the mean of its divisors is an integer number (6530496).

Almost surely, 2^107285340 is an apocalyptic number.

107285340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107285340 is an abundant number, since it is smaller than the sum of its proper divisors (206178468).

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

107285340 is a wasteful number, since it uses less digits than its factorization.

107285340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77778 (or 77776 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 107285340 is about 10357.8636793501. The cubic root of 107285340 is about 475.1675715324.

The spelling of 107285340 in words is "one hundred seven million, two hundred eighty-five thousand, three hundred forty".