83475605100 has 144 divisors (see below), whose sum is σ = 254461491200. Its totient is φ = 21069745920.

The previous prime is 83475605093. The next prime is 83475605107. The reversal of 83475605100 is 150657438.

It is an interprime number because it is at equal distance from previous prime (83475605093) and next prime (83475605107).

It is a super-2 number, since 2×83475605100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83475605107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7044981 + ... + 7056819.

Almost surely, 2^83475605100 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 83475605100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127230745600).

83475605100 is an abundant number, since it is smaller than the sum of its proper divisors (170985886100).

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

83475605100 is a wasteful number, since it uses less digits than its factorization.

83475605100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13112 (or 13105 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 83475605100 in words is "eighty-three billion, four hundred seventy-five million, six hundred five thousand, one hundred".