155165088100 has 81 divisors (see below), whose sum is σ = 370204174123. Its totient is φ = 56407912000.

The previous prime is 155165088097. The next prime is 155165088107. The reversal of 155165088100 is 1880561551.

The square root of 155165088100 is 393910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14233921636 + 140931166464 = 119306^2 + 375408^2 .

It is a super-2 number, since 2×155165088100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155165088107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43328310 + ... + 43331890.

Almost surely, 2^155165088100 is an apocalyptic number.

155165088100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155165088100 is the 393910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155165088100

155165088100 is an abundant number, since it is smaller than the sum of its proper divisors (215039086023).

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

155165088100 is an equidigital number, since it uses as much as digits as its factorization.

155165088100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 40.

The spelling of 155165088100 in words is "one hundred fifty-five billion, one hundred sixty-five million, eighty-eight thousand, one hundred".