10166617145 has 16 divisors (see below), whose sum is σ = 12858762960. Its totient is φ = 7704662784.

The previous prime is 10166617127. The next prime is 10166617171. The reversal of 10166617145 is 54171666101.

It can be written as a sum of positive squares in 8 ways, for example, as 462594064 + 9704023081 = 21508^2 + 98509^2 .

It is a cyclic number.

It is not a de Polignac number, because 10166617145 - 2¹⁴ = 10166600761 is a prime.

It is a super-3 number, since 3×10166617145³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10166617099 and 10166617108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653774 + ... + 669143.

It is an arithmetic number, because the mean of its divisors is an integer number (803672685).

Almost surely, 2^10166617145 is an apocalyptic number.

It is an amenable number.

10166617145 is a deficient number, since it is larger than the sum of its proper divisors (2692145815).

10166617145 is a wasteful number, since it uses less digits than its factorization.

10166617145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323004.

The product of its (nonzero) digits is 30240, while the sum is 38.

It can be divided in two parts, 101666 and 17145, that added together give a palindrome (118811).

The spelling of 10166617145 in words is "ten billion, one hundred sixty-six million, six hundred seventeen thousand, one hundred forty-five".