82478096100 has 135 divisors (see below), whose sum is σ = 267445215961. Its totient is φ = 21987266400.

The previous prime is 82478096021. The next prime is 82478096101. The reversal of 82478096100 is 169087428.

The square root of 82478096100 is 287190.

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

82478096100 is a `hidden beast` number, since 8 + 24 + 7 + 8 + 0 + 9 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29692114596 + 52785981504 = 172314^2 + 229752^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-4 number, since 4×82478096100⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82478096101) 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 44 ways as a sum of consecutive naturals, for example, 25845505 + ... + 25848695.

Almost surely, 2^82478096100 is an apocalyptic number.

82478096100 is the 287190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82478096100

82478096100 is an abundant number, since it is smaller than the sum of its proper divisors (184967119861).

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

82478096100 is an equidigital number, since it uses as much as digits as its factorization.

82478096100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 82478096100 in words is "eighty-two billion, four hundred seventy-eight million, ninety-six thousand, one hundred".