82320105 has 64 divisors (see below), whose sum is σ = 159252480. Its totient is φ = 35498496.

The previous prime is 82320101. The next prime is 82320107. The reversal of 82320105 is 50102328.

It is not a de Polignac number, because 82320105 - 2² = 82320101 is a prime.

It is a super-2 number, since 2×82320105² = 13553199374422050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (82320101) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 214744 + ... + 215126.

It is an arithmetic number, because the mean of its divisors is an integer number (2488320).

Almost surely, 2^82320105 is an apocalyptic number.

It is an amenable number.

82320105 is a deficient number, since it is larger than the sum of its proper divisors (76932375).

82320105 is a wasteful number, since it uses less digits than its factorization.

82320105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 82320105 is about 9073.0427641448. The cubic root of 82320105 is about 435.0127357878.

It can be divided in two parts, 82320 and 105, that multiplied together give a square (8643600 = 2940²).

The spelling of 82320105 in words is "eighty-two million, three hundred twenty thousand, one hundred five".