10172000106 has 24 divisors (see below), whose sum is σ = 22551877920. Its totient is φ = 3311813736.

The previous prime is 10172000081. The next prime is 10172000117. The reversal of 10172000106 is 60100027101.

It is a super-3 number, since 3×10172000106³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6570286 + ... + 6571833.

It is an arithmetic number, because the mean of its divisors is an integer number (939661580).

Almost surely, 2^10172000106 is an apocalyptic number.

10172000106 is an abundant number, since it is smaller than the sum of its proper divisors (12379877814).

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

10172000106 is a wasteful number, since it uses less digits than its factorization.

10172000106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13142170 (or 13142167 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 10172000106 its reverse (60100027101), we get a palindrome (70272027207).

The spelling of 10172000106 in words is "ten billion, one hundred seventy-two million, one hundred six", and thus it is an aban number.