105010605000101 has 8 divisors (see below), whose sum is σ = 108407815977984. Its totient is φ = 101614004778960.

The previous prime is 105010605000019. The next prime is 105010605000113. The reversal of 105010605000101 is 101000506010501.

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 105010605000101 - 2¹⁴ = 105010604983717 is a prime.

It is a super-2 number, since 2×105010605000101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010605000181) 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, 152339741 + ... + 153027506.

It is an arithmetic number, because the mean of its divisors is an integer number (13550976997248).

Almost surely, 2^{105010605000101} is an apocalyptic number.

It is an amenable number.

105010605000101 is a deficient number, since it is larger than the sum of its proper divisors (3397210977883).

105010605000101 is a wasteful number, since it uses less digits than its factorization.

105010605000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305378371.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 105010605000101 in words is "one hundred five trillion, ten billion, six hundred five million, one hundred one", and thus it is an aban number.