107004436 has 72 divisors (see below), whose sum is σ = 245452032. Its totient is φ = 40320000.

The previous prime is 107004421. The next prime is 107004437. The reversal of 107004436 is 634400701.

It is a super-2 number, since 2×107004436² = 22899898647356192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107004436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107004437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66036 + ... + 67636.

It is an arithmetic number, because the mean of its divisors is an integer number (3409056).

Almost surely, 2^107004436 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 107004436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122726016).

107004436 is an abundant number, since it is smaller than the sum of its proper divisors (138447596).

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

107004436 is a wasteful number, since it uses less digits than its factorization.

107004436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 107004436 is about 10344.2948527195. The cubic root of 107004436 is about 474.7525004252.

The spelling of 107004436 in words is "one hundred seven million, four thousand, four hundred thirty-six".