109006464 has 128 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 30772224.

The previous prime is 109006459. The next prime is 109006481. The reversal of 109006464 is 464600901.

It is a tau number, because it is divible by the number of its divisors (128).

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, 287427 + ... + 287805.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^109006464 is an apocalyptic number.

109006464 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 109006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

109006464 is an abundant number, since it is smaller than the sum of its proper divisors (225879936).

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

109006464 is a wasteful number, since it uses less digits than its factorization.

109006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 109006464 is about 10440.6160737765. The cubic root of 109006464 is about 477.6950606075.

The spelling of 109006464 in words is "one hundred nine million, six thousand, four hundred sixty-four".