105061051001 has 8 divisors (see below), whose sum is σ = 105363304200. Its totient is φ = 104759222400.

The previous prime is 105061050979. The next prime is 105061051013. The reversal of 105061051001 is 100150160501.

It can be written as a sum of positive squares in 4 ways, for example, as 61921345600 + 43139705401 = 248840^2 + 207701^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105061051001 is a prime.

It is a super-2 number, since 2×105061051001² (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 (105061051021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392795 + ... + 603663.

It is an arithmetic number, because the mean of its divisors is an integer number (13170413025).

Almost surely, 2^105061051001 is an apocalyptic number.

It is an amenable number.

105061051001 is a deficient number, since it is larger than the sum of its proper divisors (302253199).

105061051001 is an equidigital number, since it uses as much as digits as its factorization.

105061051001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212299.

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

The spelling of 105061051001 in words is "one hundred five billion, sixty-one million, fifty-one thousand, one".