82730106 has 16 divisors (see below), whose sum is σ = 183844800. Its totient is φ = 27576684.

The previous prime is 82730083. The next prime is 82730119. The reversal of 82730106 is 60103728.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 82730106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765966 + ... + 766073.

It is an arithmetic number, because the mean of its divisors is an integer number (11490300).

Almost surely, 2^82730106 is an apocalyptic number.

82730106 is an abundant number, since it is smaller than the sum of its proper divisors (101114694).

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

82730106 is a wasteful number, since it uses less digits than its factorization.

82730106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532050 (or 1532044 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 82730106 is about 9095.6091604686. The cubic root of 82730106 is about 435.7337438131.

The spelling of 82730106 in words is "eighty-two million, seven hundred thirty thousand, one hundred six".