84072105 has 48 divisors (see below), whose sum is σ = 158230800. Its totient is φ = 41048064.

The previous prime is 84072101. The next prime is 84072133. The reversal of 84072105 is 50127048.

It can be written as a sum of positive squares in 8 ways, for example, as 19881 + 84052224 = 141^2 + 9168^2 .

It is not a de Polignac number, because 84072105 - 2² = 84072101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84072101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79621 + ... + 80669.

It is an arithmetic number, because the mean of its divisors is an integer number (3296475).

Almost surely, 2^84072105 is an apocalyptic number.

It is an amenable number.

84072105 is a deficient number, since it is larger than the sum of its proper divisors (74158695).

84072105 is a wasteful number, since it uses less digits than its factorization.

84072105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 84072105 is about 9169.0841963633. The cubic root of 84072105 is about 438.0771897486.

The spelling of 84072105 in words is "eighty-four million, seventy-two thousand, one hundred five".