10605556001061 has 36 divisors (see below), whose sum is σ = 17996657844204. Its totient is φ = 6000314544000.

The previous prime is 10605556001023. The next prime is 10605556001099. The reversal of 10605556001061 is 16010065550601.

It is an interprime number because it is at equal distance from previous prime (10605556001023) and next prime (10605556001099).

It can be written as a sum of positive squares in 2 ways, for example, as 7414080940161 + 3191475060900 = 2722881^2 + 1786470^2 .

It is not a de Polignac number, because 10605556001061 - 2⁹ = 10605556000549 is a prime.

It is a super-2 number, since 2×10605556001061² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605556001011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119009320 + ... + 119098401.

It is an arithmetic number, because the mean of its divisors is an integer number (499907162339).

Almost surely, 2^{10605556001061} is an apocalyptic number.

It is an amenable number.

10605556001061 is a deficient number, since it is larger than the sum of its proper divisors (7391101843143).

10605556001061 is a wasteful number, since it uses less digits than its factorization.

10605556001061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238107842 (or 238107832 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10605556001061 in words is "ten trillion, six hundred five billion, five hundred fifty-six million, one thousand, sixty-one".