107084484 has 72 divisors (see below), whose sum is σ = 300676320. Its totient is φ = 32943456.

The previous prime is 107084477. The next prime is 107084507. The reversal of 107084484 is 484480701.

It is a happy number.

It is a super-2 number, since 2×107084484² = 22934173427092512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15319 + ... + 21185.

It is an arithmetic number, because the mean of its divisors is an integer number (4176060).

Almost surely, 2^107084484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107084484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150338160).

107084484 is an abundant number, since it is smaller than the sum of its proper divisors (193591836).

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

107084484 is a wasteful number, since it uses less digits than its factorization.

107084484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 107084484 is about 10348.1633152942. The cubic root of 107084484 is about 474.8708553803.

The spelling of 107084484 in words is "one hundred seven million, eighty-four thousand, four hundred eighty-four".