101799283600 has 405 divisors, whose sum is σ = 296872661043. Its totient is φ = 33447697920.

The previous prime is 101799283459. The next prime is 101799283609. The reversal of 101799283600 is 6382997101.

It is a happy number.

The square root of 101799283600 is 319060.

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 766846864 + 101032436736 = 27692^2 + 317856^2 .

It is not an unprimeable number, because it can be changed into a prime (101799283609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1920741174 + ... + 1920741226.

Almost surely, 2^101799283600 is an apocalyptic number.

101799283600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101799283600 is the 319060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101799283600

101799283600 is an abundant number, since it is smaller than the sum of its proper divisors (195073377443).

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

101799283600 is an equidigital number, since it uses as much as digits as its factorization.

101799283600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 101799283600 in words is "one hundred one billion, seven hundred ninety-nine million, two hundred eighty-three thousand, six hundred".