84252230100 has 648 divisors, whose sum is σ = 295304536800. Its totient is φ = 20024755200.

The previous prime is 84252230099. The next prime is 84252230123. The reversal of 84252230100 is 103225248.

84252230100 is a `hidden beast` number, since 8 + 4 + 2 + 522 + 30 + 100 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1381184070 + ... + 1381184130.

Almost surely, 2^84252230100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84252230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147652268400).

84252230100 is an abundant number, since it is smaller than the sum of its proper divisors (211052306700).

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

84252230100 is a wasteful number, since it uses less digits than its factorization.

84252230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 84252230100 its reverse (103225248), we get a palindrome (84355455348).

The spelling of 84252230100 in words is "eighty-four billion, two hundred fifty-two million, two hundred thirty thousand, one hundred".