106904784 has 80 divisors (see below), whose sum is σ = 316840832. Its totient is φ = 30426624.

The previous prime is 106904737. The next prime is 106904797. The reversal of 106904784 is 487409601.

It is a happy number.

It is a super-2 number, since 2×106904784² = 22857265684173312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124902 + ... + 125754.

Almost surely, 2^106904784 is an apocalyptic number.

106904784 is a gapful number since it is divisible by the number (14) 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 106904784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158420416).

106904784 is an abundant number, since it is smaller than the sum of its proper divisors (209936048).

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

106904784 is a wasteful number, since it uses less digits than its factorization.

106904784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 106904784 is about 10339.4769693636. The cubic root of 106904784 is about 474.6050774710.

The spelling of 106904784 in words is "one hundred six million, nine hundred four thousand, seven hundred eighty-four".