165250380100 has 243 divisors, whose sum is σ = 402585471813. Its totient is φ = 58849639680.

The previous prime is 165250380079. The next prime is 165250380103. The reversal of 165250380100 is 1083052561.

The square root of 165250380100 is 406510.

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

It can be written as a sum of positive squares in 13 ways, for example, as 129782944516 + 35467435584 = 360254^2 + 188328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165250380103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2800853871 + ... + 2800853929.

Almost surely, 2^165250380100 is an apocalyptic number.

165250380100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165250380100 is the 406510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165250380100

165250380100 is an abundant number, since it is smaller than the sum of its proper divisors (237335091713).

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

165250380100 is a wasteful number, since it uses less digits than its factorization.

165250380100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 165250380100 in words is "one hundred sixty-five billion, two hundred fifty million, three hundred eighty thousand, one hundred".