100545224100 has 288 divisors, whose sum is σ = 313521183360. Its totient is φ = 24800256000.

The previous prime is 100545224069. The next prime is 100545224147. The reversal of 100545224100 is 1422545001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72805410 + ... + 72806790.

It is an arithmetic number, because the mean of its divisors is an integer number (1088615220).

Almost surely, 2^100545224100 is an apocalyptic number.

100545224100 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 100545224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156760591680).

100545224100 is an abundant number, since it is smaller than the sum of its proper divisors (212975959260).

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

100545224100 is a wasteful number, since it uses less digits than its factorization.

100545224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 100545224100 its reverse (1422545001), we get a palindrome (101967769101).

The spelling of 100545224100 in words is "one hundred billion, five hundred forty-five million, two hundred twenty-four thousand, one hundred".