166100517 has 32 divisors (see below), whose sum is σ = 273024000. Its totient is φ = 98950320.

The previous prime is 166100509. The next prime is 166100521. The reversal of 166100517 is 715001661.

It is not a de Polignac number, because 166100517 - 2³ = 166100509 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 not an unprimeable number, because it can be changed into a prime (166100567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12784 + ... + 22262.

It is an arithmetic number, because the mean of its divisors is an integer number (8532000).

Almost surely, 2^166100517 is an apocalyptic number.

It is an amenable number.

166100517 is a deficient number, since it is larger than the sum of its proper divisors (106923483).

166100517 is a wasteful number, since it uses less digits than its factorization.

166100517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9558 (or 9552 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 166100517 is about 12887.9989525139. The cubic root of 166100517 is about 549.6973729097.

Adding to 166100517 its sum of digits (27), we get a square (166100544 = 12888²).

The spelling of 166100517 in words is "one hundred sixty-six million, one hundred thousand, five hundred seventeen".