109016460 has 144 divisors (see below), whose sum is σ = 390254592. Its totient is φ = 24105600.

The previous prime is 109016447. The next prime is 109016473. The reversal of 109016460 is 64610901.

109016460 is a `hidden beast` number, since 10 + 9 + 0 + 1 + 646 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (109016447) and next prime (109016473).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37665 + ... + 40455.

Almost surely, 2^109016460 is an apocalyptic number.

109016460 is a gapful number since it is divisible by the number (10) 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 109016460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195127296).

109016460 is an abundant number, since it is smaller than the sum of its proper divisors (281238132).

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

109016460 is a wasteful number, since it uses less digits than its factorization.

109016460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109016460 is about 10441.0947701857. The cubic root of 109016460 is about 477.7096618635.

The spelling of 109016460 in words is "one hundred nine million, sixteen thousand, four hundred sixty".