105100106061 has 8 divisors (see below), whose sum is σ = 143551364544. Its totient is φ = 68357792480.

The previous prime is 105100106029. The next prime is 105100106063. The reversal of 105100106061 is 160601001501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105100106061 - 2⁵ = 105100106029 is a prime.

It is a super-2 number, since 2×105100106061² (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 (105100106063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427236081 + ... + 427236326.

It is an arithmetic number, because the mean of its divisors is an integer number (17943920568).

Almost surely, 2^105100106061 is an apocalyptic number.

It is an amenable number.

105100106061 is a deficient number, since it is larger than the sum of its proper divisors (38451258483).

105100106061 is an equidigital number, since it uses as much as digits as its factorization.

105100106061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854472451.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 105100106061 its reverse (160601001501), we get a palindrome (265701107562).

The spelling of 105100106061 in words is "one hundred five billion, one hundred million, one hundred six thousand, sixty-one".