84149100 has 324 divisors, whose sum is σ = 326739504. Its totient is φ = 17729280.

The previous prime is 84149089. The next prime is 84149113. The reversal of 84149100 is 194148.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2274282 + ... + 2274318.

Almost surely, 2^84149100 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 84149100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163369752).

84149100 is an abundant number, since it is smaller than the sum of its proper divisors (242590404).

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

84149100 is a wasteful number, since it uses less digits than its factorization.

84149100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 84149100 is about 9173.2818554757. The cubic root of 84149100 is about 438.2108823753.

The spelling of 84149100 in words is "eighty-four million, one hundred forty-nine thousand, one hundred".