84248100 has 108 divisors (see below), whose sum is σ = 273930384. Its totient is φ = 22459680.

The previous prime is 84248093. The next prime is 84248119. The reversal of 84248100 is 184248.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×84248100² = 14195484707220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22567 + ... + 26033.

Almost surely, 2^84248100 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 84248100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136965192).

84248100 is an abundant number, since it is smaller than the sum of its proper divisors (189682284).

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

84248100 is a wasteful number, since it uses less digits than its factorization.

84248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 84248100 is about 9178.6763751643. The cubic root of 84248100 is about 438.3826642696.

It can be divided in two parts, 84248 and 100, that added together give a palindrome (84348).

The spelling of 84248100 in words is "eighty-four million, two hundred forty-eight thousand, one hundred".