83155711100 has 144 divisors (see below), whose sum is σ = 234755974656. Its totient is φ = 24791712000.

The previous prime is 83155711099. The next prime is 83155711109. The reversal of 83155711100 is 111755138.

It is a happy number.

It is a super-3 number, since 3×83155711100³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83155711109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57671 + ... + 411870.

It is an arithmetic number, because the mean of its divisors is an integer number (1630249824).

Almost surely, 2^83155711100 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 83155711100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117377987328).

83155711100 is an abundant number, since it is smaller than the sum of its proper divisors (151600263556).

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

83155711100 is a wasteful number, since it uses less digits than its factorization.

83155711100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469596 (or 469589 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 32.

The spelling of 83155711100 in words is "eighty-three billion, one hundred fifty-five million, seven hundred eleven thousand, one hundred".