82106042610 has 16 divisors (see below), whose sum is σ = 197054502336. Its totient is φ = 21894944688.

The previous prime is 82106042591. The next prime is 82106042647. The reversal of 82106042610 is 1624060128.

It is a super-2 number, since 2×82106042610² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 2736868087 = 82106042610 / (8 + 2 + 1 + 0 + 6 + 0 + 4 + 2 + 6 + 1 + 0).

It is a Curzon 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, 1368434014 + ... + 1368434073.

It is an arithmetic number, because the mean of its divisors is an integer number (12315906396).

Almost surely, 2^82106042610 is an apocalyptic number.

82106042610 is an abundant number, since it is smaller than the sum of its proper divisors (114948459726).

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

82106042610 is a wasteful number, since it uses less digits than its factorization.

82106042610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736868097.

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 82106042610 in words is "eighty-two billion, one hundred six million, forty-two thousand, six hundred ten".