105232171000 has 64 divisors (see below), whose sum is σ = 268629060960. Its totient is φ = 38266240000.

The previous prime is 105232170959. The next prime is 105232171003. The reversal of 105232171000 is 171232501.

It is a happy number.

It is a super-2 number, since 2×105232171000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105232171003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4772281 + ... + 4794280.

Almost surely, 2^105232171000 is an apocalyptic number.

105232171000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105232171000 is an abundant number, since it is smaller than the sum of its proper divisors (163396889960).

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

105232171000 is a wasteful number, since it uses less digits than its factorization.

105232171000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566593 (or 9566579 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The spelling of 105232171000 in words is "one hundred five billion, two hundred thirty-two million, one hundred seventy-one thousand".