10171611045 has 20 divisors (see below), whose sum is σ = 18233555340. Its totient is φ = 5424859008.

The previous prime is 10171611029. The next prime is 10171611053. The reversal of 10171611045 is 54011617101.

10171611045 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 1 + 611 + 0 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2545606116 + 7626004929 = 50454^2 + 87327^2 .

It is not a de Polignac number, because 10171611045 - 2⁴ = 10171611029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12557140 + ... + 12557949.

It is an arithmetic number, because the mean of its divisors is an integer number (911677767).

Almost surely, 2^10171611045 is an apocalyptic number.

10171611045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10171611045 is a deficient number, since it is larger than the sum of its proper divisors (8061944295).

10171611045 is an equidigital number, since it uses as much as digits as its factorization.

10171611045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25115106 (or 25115097 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 10171611045 in words is "ten billion, one hundred seventy-one million, six hundred eleven thousand, forty-five".