172300100 has 72 divisors (see below), whose sum is σ = 452471040. Its totient is φ = 55595520.

The previous prime is 172300057. The next prime is 172300103. The reversal of 172300100 is 1003271.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (172300103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4661 + ... + 19139.

It is an arithmetic number, because the mean of its divisors is an integer number (6284320).

Almost surely, 2^172300100 is an apocalyptic number.

172300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226235520).

172300100 is an abundant number, since it is smaller than the sum of its proper divisors (280170940).

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

172300100 is a wasteful number, since it uses less digits than its factorization.

172300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14517 (or 14510 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 172300100 is about 13126.3132676315. The cubic root of 172300100 is about 556.4530277682.

Adding to 172300100 its reverse (1003271), we get a palindrome (173303371).

The spelling of 172300100 in words is "one hundred seventy-two million, three hundred thousand, one hundred".