105561061001 has 8 divisors (see below), whose sum is σ = 115279910208. Its totient is φ = 95862610000.

The previous prime is 105561060991. The next prime is 105561061057. The reversal of 105561061001 is 100160165501.

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 105561061001 - 2⁶ = 105561060937 is a prime.

It is a super-2 number, since 2×105561061001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105561061601) 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, 5088725 + ... + 5109426.

It is an arithmetic number, because the mean of its divisors is an integer number (14409988776).

Almost surely, 2^105561061001 is an apocalyptic number.

105561061001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105561061001 is a deficient number, since it is larger than the sum of its proper divisors (9718849207).

105561061001 is a wasteful number, since it uses less digits than its factorization.

105561061001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10199103.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 105561061001 in words is "one hundred five billion, five hundred sixty-one million, sixty-one thousand, one".