105809620101 has 16 divisors (see below), whose sum is σ = 142940538048. Its totient is φ = 69613776000.

The previous prime is 105809620099. The next prime is 105809620121. The reversal of 105809620101 is 101026908501.

It is not a de Polignac number, because 105809620101 - 2¹ = 105809620099 is a prime.

It is a super-2 number, since 2×105809620101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105809620121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475720 + ... + 661761.

It is an arithmetic number, because the mean of its divisors is an integer number (8933783628).

Almost surely, 2^105809620101 is an apocalyptic number.

It is an amenable number.

105809620101 is a deficient number, since it is larger than the sum of its proper divisors (37130917947).

105809620101 is a wasteful number, since it uses less digits than its factorization.

105809620101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137892.

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 105809620101 in words is "one hundred five billion, eight hundred nine million, six hundred twenty thousand, one hundred one".