105010060101 has 32 divisors (see below), whose sum is σ = 149944338432. Its totient is φ = 65224125120.

The previous prime is 105010060087. The next prime is 105010060151. The reversal of 105010060101 is 101060010501.

It is not a de Polignac number, because 105010060101 - 2¹¹ = 105010058053 is a prime.

It is a super-2 number, since 2×105010060101² (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 (105010060151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277491 + ... + 535743.

It is an arithmetic number, because the mean of its divisors is an integer number (4685760576).

Almost surely, 2^105010060101 is an apocalyptic number.

It is an amenable number.

105010060101 is a deficient number, since it is larger than the sum of its proper divisors (44934278331).

105010060101 is a wasteful number, since it uses less digits than its factorization.

105010060101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258433.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 105010060101 its reverse (101060010501), we get a palindrome (206070070602).

The spelling of 105010060101 in words is "one hundred five billion, ten million, sixty thousand, one hundred one".