80106432 has 112 divisors (see below), whose sum is σ = 255056640. Its totient is φ = 21676032.

The previous prime is 80106427. The next prime is 80106457. The reversal of 80106432 is 23460108.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 23968 + ... + 27104.

Almost surely, 2^80106432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127528320).

80106432 is an abundant number, since it is smaller than the sum of its proper divisors (174950208).

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

80106432 is a wasteful number, since it uses less digits than its factorization.

80106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 80106432 is about 8950.2196621089. The cubic root of 80106432 is about 431.0779373237.

The spelling of 80106432 in words is "eighty million, one hundred six thousand, four hundred thirty-two".