83114100 has 180 divisors, whose sum is σ = 278954368. Its totient is φ = 21384000.

The previous prime is 83114089. The next prime is 83114149. The reversal of 83114100 is 141138.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 250935 + ... + 251265.

Almost surely, 2^83114100 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 83114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139477184).

83114100 is an abundant number, since it is smaller than the sum of its proper divisors (195840268).

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

83114100 is a wasteful number, since it uses less digits than its factorization.

83114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 83114100 is about 9116.6934795462. The cubic root of 83114100 is about 436.4068600650.

Adding to 83114100 its reverse (141138), we get a palindrome (83255238).

The spelling of 83114100 in words is "eighty-three million, one hundred fourteen thousand, one hundred".