83855100 has 144 divisors (see below), whose sum is σ = 281593088. Its totient is φ = 18869760.

The previous prime is 83855099. The next prime is 83855111. The reversal of 83855100 is 155838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153027 + ... + 153573.

Almost surely, 2^83855100 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 83855100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140796544).

83855100 is an abundant number, since it is smaller than the sum of its proper divisors (197737988).

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

83855100 is a wasteful number, since it uses less digits than its factorization.

83855100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 83855100 is about 9157.2430348877. The cubic root of 83855100 is about 437.6999467015.

The spelling of 83855100 in words is "eighty-three million, eight hundred fifty-five thousand, one hundred".