82374740100 has 189 divisors, whose sum is σ = 268259537973. Its totient is φ = 21945932640.

The previous prime is 82374740093. The next prime is 82374740131. The reversal of 82374740100 is 104747328.

It is a happy number.

The square root of 82374740100 is 287010.

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

82374740100 is a `hidden beast` number, since 82 + 3 + 7 + 474 + 0 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29654906436 + 52719833664 = 172206^2 + 229608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 77492169 + ... + 77493231.

Almost surely, 2^82374740100 is an apocalyptic number.

82374740100 is the 287010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82374740100

82374740100 is an abundant number, since it is smaller than the sum of its proper divisors (185884797873).

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

82374740100 is an equidigital number, since it uses as much as digits as its factorization.

82374740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Multiplying 82374740100 by its sum of digits (36), we get a square (2965490643600 = 1722060²).

82374740100 divided by its sum of digits (36) gives a square (2288187225 = 47835²).

The spelling of 82374740100 in words is "eighty-two billion, three hundred seventy-four million, seven hundred forty thousand, one hundred".