1050100006100 has 36 divisors (see below), whose sum is σ = 2280050747100. Its totient is φ = 419794152960.

The previous prime is 1050100006091. The next prime is 1050100006103. The reversal of 1050100006100 is 16000010501.

It can be written as a sum of positive squares in 6 ways, for example, as 78846393616 + 971253612484 = 280796^2 + 985522^2 .

It is a super-2 number, since 2×1050100006100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050100006103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2901365 + ... + 3243164.

It is an arithmetic number, because the mean of its divisors is an integer number (63334742975).

Almost surely, 2^{1050100006100} is an apocalyptic number.

1050100006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1050100006100 is an abundant number, since it is smaller than the sum of its proper divisors (1229950741000).

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

1050100006100 is a wasteful number, since it uses less digits than its factorization.

1050100006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146252 (or 6146245 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 1050100006100 its reverse (16000010501), we get a palindrome (1066100016601).

The spelling of 1050100006100 in words is "one trillion, fifty billion, one hundred million, six thousand, one hundred".