83106420 has 96 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 21525504.

The previous prime is 83106409. The next prime is 83106449. The reversal of 83106420 is 2460138.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421762 + ... + 421958.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^83106420 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 83106420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

83106420 is an abundant number, since it is smaller than the sum of its proper divisors (156394380).

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

83106420 is a wasteful number, since it uses less digits than its factorization.

83106420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

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

The square root of 83106420 is about 9116.2722644730. The cubic root of 83106420 is about 436.3934178695.

Adding to 83106420 its reverse (2460138), we get a palindrome (85566558).

The spelling of 83106420 in words is "eighty-three million, one hundred six thousand, four hundred twenty".