100522545200 has 240 divisors, whose sum is σ = 304489082880. Its totient is φ = 30978816000.

The previous prime is 100522545131. The next prime is 100522545209. The reversal of 100522545200 is 2545225001.

It is a self number, because there is not a number n which added to its sum of digits gives 100522545200.

It is not an unprimeable number, because it can be changed into a prime (100522545209) 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 47 ways as a sum of consecutive naturals, for example, 2722865 + ... + 2759535.

It is an arithmetic number, because the mean of its divisors is an integer number (1268704512).

Almost surely, 2^100522545200 is an apocalyptic number.

100522545200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100522545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152244541440).

100522545200 is an abundant number, since it is smaller than the sum of its proper divisors (203966537680).

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

100522545200 is a wasteful number, since it uses less digits than its factorization.

100522545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36796 (or 36785 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 100522545200 in words is "one hundred billion, five hundred twenty-two million, five hundred forty-five thousand, two hundred".