155100 has 72 divisors (see below), whose sum is σ = 499968. Its totient is φ = 36800.

The previous prime is 155087. The next prime is 155119. The reversal of 155100 is 1551.

155100 = T₆₁ + T₆₂ + ... + T₁₀₄.

155100 = 6² + 7² + ... + 77².

155100 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

155100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 3277 + ... + 3323.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2¹⁵⁵¹⁰⁰ is an apocalyptic number.

155100 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 155100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984).

155100 is an abundant number, since it is smaller than the sum of its proper divisors (344868).

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

155100 is a wasteful number, since it uses less digits than its factorization.

155100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 155100 is about 393.8273733503. The cubic root of 155100 is about 53.7284030776.

Adding to 155100 its reverse (1551), we get a palindrome (156651).

Multiplying 155100 by its reverse (1551), we get a square (240560100 = 15510²).

155100 divided by its reverse (1551) gives a square (100 = 10²).

It can be divided in two parts, 15 and 5100, that added together give a palindrome (5115).

The spelling of 155100 in words is "one hundred fifty-five thousand, one hundred".