105010506101061 has 128 divisors (see below), whose sum is σ = 182267542241280. Its totient is φ = 59122439006400.

The previous prime is 105010506100949. The next prime is 105010506101063. The reversal of 105010506101061 is 160101605010501.

105010506101061 is a `hidden beast` number, since 1 + 0 + 50 + 1 + 0 + 506 + 1 + 0 + 106 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-105010506101061 is a prime.

It is a super-2 number, since 2×105010506101061² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010506101063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30879276 + ... + 34110858.

It is an arithmetic number, because the mean of its divisors is an integer number (1423965173760).

Almost surely, 2^{105010506101061} is an apocalyptic number.

105010506101061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105010506101061 is a deficient number, since it is larger than the sum of its proper divisors (77257036140219).

105010506101061 is a wasteful number, since it uses less digits than its factorization.

105010506101061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231764 (or 3231758 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 105010506101061 in words is "one hundred five trillion, ten billion, five hundred six million, one hundred one thousand, sixty-one".