100971639522 has 192 divisors, whose sum is σ = 249329912832. Its totient is φ = 29315520000.

The previous prime is 100971639521. The next prime is 100971639533. The reversal of 100971639522 is 225936179001.

It is a happy number.

100971639522 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 7 + 1 + 639 + 5 + 2 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (100971639521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69586897 + ... + 69588347.

It is an arithmetic number, because the mean of its divisors is an integer number (1298593296).

Almost surely, 2^100971639522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100971639522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124664956416).

100971639522 is an abundant number, since it is smaller than the sum of its proper divisors (148358273310).

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

100971639522 is a wasteful number, since it uses less digits than its factorization.

100971639522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 100971639522 in words is "one hundred billion, nine hundred seventy-one million, six hundred thirty-nine thousand, five hundred twenty-two".