155105600 has 84 divisors (see below), whose sum is σ = 411070044. Its totient is φ = 57262080.

The previous prime is 155105579. The next prime is 155105623. The reversal of 155105600 is 6501551.

It can be written as a sum of positive squares in 6 ways, for example, as 28047616 + 127057984 = 5296^2 + 11272^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17072 + ... + 24528.

It is an arithmetic number, because the mean of its divisors is an integer number (4893691).

Almost surely, 2^155105600 is an apocalyptic number.

155105600 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 155105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205535022).

155105600 is an abundant number, since it is smaller than the sum of its proper divisors (255964444).

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

155105600 is a wasteful number, since it uses less digits than its factorization.

155105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7492 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 155105600 is about 12454.1398739536. The cubic root of 155105600 is about 537.2904970432.

The spelling of 155105600 in words is "one hundred fifty-five million, one hundred five thousand, six hundred".