172054100 has 72 divisors (see below), whose sum is σ = 391641600. Its totient is φ = 65520000.

The previous prime is 172054097. The next prime is 172054109. The reversal of 172054100 is 1450271.

It is a super-2 number, since 2×172054100² = 59205226653620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172054109) 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, 228725 + ... + 229475.

Almost surely, 2^172054100 is an apocalyptic number.

172054100 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 172054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195820800).

172054100 is an abundant number, since it is smaller than the sum of its proper divisors (219587500).

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

172054100 is a wasteful number, since it uses less digits than its factorization.

172054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 172054100 is about 13116.9394296078. The cubic root of 172054100 is about 556.1880779448.

The spelling of 172054100 in words is "one hundred seventy-two million, fifty-four thousand, one hundred".