166541750100 has 162 divisors, whose sum is σ = 573786406830. Its totient is φ = 40373731200.

The previous prime is 166541750071. The next prime is 166541750107. The reversal of 166541750100 is 1057145661.

It is a happy number.

166541750100 is a `hidden beast` number, since 1 + 6 + 6 + 541 + 7 + 5 + 0 + 100 = 666.

166541750100 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 27290379204 + 139251370896 = 165198^2 + 373164^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166541750107) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 655755 + ... + 873554.

Almost surely, 2^166541750100 is an apocalyptic number.

166541750100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166541750100 is an abundant number, since it is smaller than the sum of its proper divisors (407244656730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166541750100 is a wasteful number, since it uses less digits than its factorization.

166541750100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529351 (or 1529330 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 166541750100 its reverse (1057145661), we get a palindrome (167598895761).

The spelling of 166541750100 in words is "one hundred sixty-six billion, five hundred forty-one million, seven hundred fifty thousand, one hundred".