105011100006100 has 36 divisors (see below), whose sum is σ = 227874532310908. Its totient is φ = 42004357920000.

The previous prime is 105011100006067. The next prime is 105011100006149. The reversal of 105011100006100 is 1600001110501.

It can be written as a sum of positive squares in 6 ways, for example, as 46764836064324 + 58246263941776 = 6838482^2 + 7631924^2 .

It is a super-2 number, since 2×105011100006100² (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96937450 + ... + 98014750.

Almost surely, 2^{105011100006100} is an apocalyptic number.

105011100006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105011100006100 is an abundant number, since it is smaller than the sum of its proper divisors (122863432304808).

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

105011100006100 is a wasteful number, since it uses less digits than its factorization.

105011100006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052076 (or 2052069 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 105011100006100 its reverse (1600001110501), we get a palindrome (106611101116601).

The spelling of 105011100006100 in words is "one hundred five trillion, eleven billion, one hundred million, six thousand, one hundred".