105056051061001 has 8 divisors (see below), whose sum is σ = 106552033262120. Its totient is φ = 103561605568512.

The previous prime is 105056051060981. The next prime is 105056051061037. The reversal of 105056051061001 is 100160150650501.

It can be written as a sum of positive squares in 4 ways, for example, as 2460443216400 + 102595607844601 = 1568580^2 + 10128949^2 .

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 105056051061001 - 2³³ = 105047461126409 is a prime.

It is a super-2 number, since 2×105056051061001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105056051061301) 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, 384039456 + ... + 384312913.

It is an arithmetic number, because the mean of its divisors is an integer number (13319004157765).

Almost surely, 2^{105056051061001} is an apocalyptic number.

It is an amenable number.

105056051061001 is a deficient number, since it is larger than the sum of its proper divisors (1495982201119).

105056051061001 is an equidigital number, since it uses as much as digits as its factorization.

105056051061001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768354315.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 105056051061001 in words is "one hundred five trillion, fifty-six billion, fifty-one million, sixty-one thousand, one".