100809522 has 96 divisors (see below), whose sum is σ = 250810560. Its totient is φ = 30093120.

The previous prime is 100809521. The next prime is 100809557. The reversal of 100809522 is 225908001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100809521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582628 + ... + 582800.

It is an arithmetic number, because the mean of its divisors is an integer number (2612610).

Almost surely, 2^100809522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100809522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125405280).

100809522 is an abundant number, since it is smaller than the sum of its proper divisors (150001038).

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

100809522 is a wasteful number, since it uses less digits than its factorization.

100809522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100809522 is about 10040.3945141613. The cubic root of 100809522 is about 465.4080081790.

The spelling of 100809522 in words is "one hundred million, eight hundred nine thousand, five hundred twenty-two".