83053476100 has 243 divisors, whose sum is σ = 220393476597. Its totient is φ = 27085248960.

The previous prime is 83053476073. The next prime is 83053476109. The reversal of 83053476100 is 167435038.

The square root of 83053476100 is 288190.

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

It can be written as a sum of positive squares in only one way, i.e., 29899251396 + 53154224704 = 172914^2 + 230552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83053476100.

It is not an unprimeable number, because it can be changed into a prime (83053476109) 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 80 ways as a sum of consecutive naturals, for example, 463985811 + ... + 463985989.

Almost surely, 2^83053476100 is an apocalyptic number.

83053476100 is the 288190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83053476100

83053476100 is an abundant number, since it is smaller than the sum of its proper divisors (137340000497).

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

83053476100 is a wasteful number, since it uses less digits than its factorization.

83053476100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

It can be divided in two parts, 83053 and 476100, that added together give a triangular number (559153 = T₁₀₅₇).

The spelling of 83053476100 in words is "eighty-three billion, fifty-three million, four hundred seventy-six thousand, one hundred".