109890432 has 96 divisors (see below), whose sum is σ = 328025880. Its totient is φ = 36619776.

The previous prime is 109890419. The next prime is 109890437. The reversal of 109890432 is 234098901.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109890437) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29338 + ... + 32870.

Almost surely, 2^109890432 is an apocalyptic number.

109890432 is a gapful number since it is divisible by the number (12) 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 109890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164012940).

109890432 is an abundant number, since it is smaller than the sum of its proper divisors (218135448).

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

109890432 is an frugal number, since it uses more digits than its factorization.

109890432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 109890432 is about 10482.8637308705. The cubic root of 109890432 is about 478.9828461016.

The spelling of 109890432 in words is "one hundred nine million, eight hundred ninety thousand, four hundred thirty-two".