101050555600 has 60 divisors (see below), whose sum is σ = 242834686380. Its totient is φ = 40410112000.

The previous prime is 101050555537. The next prime is 101050555631. The reversal of 101050555600 is 6555050101.

It can be written as a sum of positive squares in 6 ways, for example, as 2271094336 + 98779461264 = 47656^2 + 314292^2 .

It is a super-2 number, since 2×101050555600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1686150 + ... + 1745050.

It is an arithmetic number, because the mean of its divisors is an integer number (4047244773).

Almost surely, 2^101050555600 is an apocalyptic number.

101050555600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101050555600 is an abundant number, since it is smaller than the sum of its proper divisors (141784130780).

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

101050555600 is a wasteful number, since it uses less digits than its factorization.

101050555600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63208 (or 63197 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 101050555600 in words is "one hundred one billion, fifty million, five hundred fifty-five thousand, six hundred".