83049100 has 36 divisors (see below), whose sum is σ = 181332144. Its totient is φ = 33014080.

The previous prime is 83049091. The next prime is 83049119. The reversal of 83049100 is 194038.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14214 + ... + 19186.

It is an arithmetic number, because the mean of its divisors is an integer number (5037004).

Almost surely, 2^83049100 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 83049100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90666072).

83049100 is an abundant number, since it is smaller than the sum of its proper divisors (98283044).

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

83049100 is a wasteful number, since it uses less digits than its factorization.

83049100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 83049100 is about 9113.1278933196. The cubic root of 83049100 is about 436.2930653183.

The spelling of 83049100 in words is "eighty-three million, forty-nine thousand, one hundred".