83130447408100 has 81 divisors (see below), whose sum is σ = 183871621744923. Its totient is φ = 32622882901440.

The previous prime is 83130447408059. The next prime is 83130447408103. The reversal of 83130447408100 is 180474403138.

The square root of 83130447408100 is 9117590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 626215830244 + 82504231577856 = 791338^2 + 9083184^2 .

It is a super-2 number, since 2×83130447408100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83130447408103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4832314099 + ... + 4832331301.

Almost surely, 2^{83130447408100} is an apocalyptic number.

83130447408100 is the 9117590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83130447408100

83130447408100 is an abundant number, since it is smaller than the sum of its proper divisors (100741174336823).

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

83130447408100 is an frugal number, since it uses more digits than its factorization.

83130447408100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34526 (or 17263 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 83130447408100 in words is "eighty-three trillion, one hundred thirty billion, four hundred forty-seven million, four hundred eight thousand, one hundred".