83802105 has 24 divisors (see below), whose sum is σ = 147643080. Its totient is φ = 43960320.

The previous prime is 83802101. The next prime is 83802107. The reversal of 83802105 is 50120838.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9566649 + 74235456 = 3093^2 + 8616^2 .

It is not a de Polignac number, because 83802105 - 2² = 83802101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83802101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12520 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (6151795).

Almost surely, 2^83802105 is an apocalyptic number.

It is an amenable number.

83802105 is a deficient number, since it is larger than the sum of its proper divisors (63840975).

83802105 is a wasteful number, since it uses less digits than its factorization.

83802105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30601 (or 30598 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 83802105 is about 9154.3489664749. The cubic root of 83802105 is about 437.6077209578.

The spelling of 83802105 in words is "eighty-three million, eight hundred two thousand, one hundred five".