100105111101055 has 16 divisors (see below), whose sum is σ = 124271759502720. Its totient is φ = 77320486792192.

The previous prime is 100105111101041. The next prime is 100105111101103. The reversal of 100105111101055 is 550101111501001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100105111101055 is a prime.

It is a super-2 number, since 2×100105111101055² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3878599 + ... + 14671528.

It is an arithmetic number, because the mean of its divisors is an integer number (7766984968920).

Almost surely, 2^{100105111101055} is an apocalyptic number.

100105111101055 is a deficient number, since it is larger than the sum of its proper divisors (24166648401665).

100105111101055 is a wasteful number, since it uses less digits than its factorization.

100105111101055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18587378.

The product of its (nonzero) digits is 125, while the sum is 22.

Adding to 100105111101055 its reverse (550101111501001), we get a palindrome (650206222602056).

The spelling of 100105111101055 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, one hundred one thousand, fifty-five".