105111051616101 has 4 divisors (see below), whose sum is σ = 140148068821472. Its totient is φ = 70074034410732.

The previous prime is 105111051616073. The next prime is 105111051616111. The reversal of 105111051616101 is 101616150111501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 105111051616101 - 2²¹ = 105111049518949 is a prime.

It is a super-2 number, since 2×105111051616101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105111051616111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17518508602681 + ... + 17518508602686.

It is an arithmetic number, because the mean of its divisors is an integer number (35037017205368).

Almost surely, 2^{105111051616101} is an apocalyptic number.

It is an amenable number.

105111051616101 is a deficient number, since it is larger than the sum of its proper divisors (35037017205371).

105111051616101 is an equidigital number, since it uses as much as digits as its factorization.

105111051616101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35037017205370.

The product of its (nonzero) digits is 900, while the sum is 30.

The spelling of 105111051616101 in words is "one hundred five trillion, one hundred eleven billion, fifty-one million, six hundred sixteen thousand, one hundred one".