3166104101004 has 192 divisors, whose sum is σ = 9079779434880. Its totient is φ = 947870760960.

The previous prime is 3166104100933. The next prime is 3166104101009. The reversal of 3166104101004 is 4001014016613.

3166104101004 is a `hidden beast` number, since 3 + 1 + 6 + 610 + 41 + 0 + 1 + 0 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3166104101009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21397644 + ... + 21545100.

It is an arithmetic number, because the mean of its divisors is an integer number (47290517890).

Almost surely, 2^{3166104101004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3166104101004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539889717440).

3166104101004 is an abundant number, since it is smaller than the sum of its proper divisors (5913675333876).

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

3166104101004 is a wasteful number, since it uses less digits than its factorization.

3166104101004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147897 (or 147889 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 3166104101004 its reverse (4001014016613), we get a palindrome (7167118117617).

The spelling of 3166104101004 in words is "three trillion, one hundred sixty-six billion, one hundred four million, one hundred one thousand, four".