107085284 has 48 divisors (see below), whose sum is σ = 202836480. Its totient is φ = 49351680.

The previous prime is 107085259. The next prime is 107085287. The reversal of 107085284 is 482580701.

It is a super-2 number, since 2×107085284² = 22934516098721312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107085287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348659 + ... + 348965.

It is an arithmetic number, because the mean of its divisors is an integer number (4225760).

Almost surely, 2^107085284 is an apocalyptic number.

It is an amenable number.

107085284 is a deficient number, since it is larger than the sum of its proper divisors (95751196).

107085284 is a wasteful number, since it uses less digits than its factorization.

107085284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 107085284 is about 10348.2019694244. The cubic root of 107085284 is about 474.8720379224.

The spelling of 107085284 in words is "one hundred seven million, eighty-five thousand, two hundred eighty-four".