8102182506 has 96 divisors (see below), whose sum is σ = 18511148544. Its totient is φ = 2359843200.

The previous prime is 8102182489. The next prime is 8102182513. The reversal of 8102182506 is 6052812018.

It is a super-2 number, since 2×8102182506² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3532296 + ... + 3534588.

It is an arithmetic number, because the mean of its divisors is an integer number (192824464).

Almost surely, 2^8102182506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8102182506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255574272).

8102182506 is an abundant number, since it is smaller than the sum of its proper divisors (10408966038).

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

8102182506 is a wasteful number, since it uses less digits than its factorization.

8102182506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 8102182506 is about 90012.1242166854. The cubic root of 8102182506 is about 2008.4792095337.

The spelling of 8102182506 in words is "eight billion, one hundred two million, one hundred eighty-two thousand, five hundred six".