109896864 has 96 divisors (see below), whose sum is σ = 359686656. Its totient is φ = 28542720.

The previous prime is 109896847. The next prime is 109896877. The reversal of 109896864 is 468698901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42 + ... + 14825.

It is an arithmetic number, because the mean of its divisors is an integer number (3746736).

Almost surely, 2^109896864 is an apocalyptic number.

109896864 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 109896864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179843328).

109896864 is an abundant number, since it is smaller than the sum of its proper divisors (249789792).

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

109896864 is a wasteful number, since it uses less digits than its factorization.

109896864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14898 (or 14890 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 109896864 is about 10483.1705127790. The cubic root of 109896864 is about 478.9921910388.

The spelling of 109896864 in words is "one hundred nine million, eight hundred ninety-six thousand, eight hundred sixty-four".