105011061001 has 32 divisors (see below), whose sum is σ = 136412236800. Its totient is φ = 78436572480.

The previous prime is 105011060989. The next prime is 105011061047. The reversal of 105011061001 is 100160110501.

It is not a de Polignac number, because 105011061001 - 2⁹ = 105011060489 is a prime.

It is a super-2 number, since 2×105011061001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105011065001) 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, 141226 + ... + 479548.

It is an arithmetic number, because the mean of its divisors is an integer number (4262882400).

Almost surely, 2^105011061001 is an apocalyptic number.

105011061001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105011061001 is a deficient number, since it is larger than the sum of its proper divisors (31401175799).

105011061001 is a wasteful number, since it uses less digits than its factorization.

105011061001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338509.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 105011061001 its reverse (100160110501), we get a palindrome (205171171502).

It can be divided in two parts, 1050110 and 61001, that added together give a palindrome (1111111).

The spelling of 105011061001 in words is "one hundred five billion, eleven million, sixty-one thousand, one".