100105110105050 has 96 divisors (see below), whose sum is σ = 193117559886000. Its totient is φ = 38560685506560.

The previous prime is 100105110105041. The next prime is 100105110105067. The reversal of 100105110105050 is 50501011501001.

It can be written as a sum of positive squares in 24 ways, for example, as 15870204529 + 100089239900521 = 125977^2 + 10004461^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1820959364 + ... + 1821014336.

Almost surely, 2^{100105110105050} is an apocalyptic number.

100105110105050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105110105050 is a deficient number, since it is larger than the sum of its proper divisors (93012449780950).

100105110105050 is a wasteful number, since it uses less digits than its factorization.

100105110105050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58260 (or 58255 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 20.

Adding to 100105110105050 its reverse (50501011501001), we get a palindrome (150606121606051).

The spelling of 100105110105050 in words is "one hundred trillion, one hundred five billion, one hundred ten million, one hundred five thousand, fifty".