103550091264 has 153 divisors (see below), whose sum is σ = 299858073463. Its totient is φ = 34434318336.

The previous prime is 103550091247. The next prime is 103550091277. The reversal of 103550091264 is 462190055301.

The square root of 103550091264 is 321792.

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

103550091264 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 500 + 91 + 2 + 64 = 666.

It is a super-3 number, since 3×103550091264³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 247136047 + ... + 247136465.

Almost surely, 2^103550091264 is an apocalyptic number.

103550091264 is the 321792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103550091264

103550091264 is an abundant number, since it is smaller than the sum of its proper divisors (196307982199).

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

103550091264 is an frugal number, since it uses more digits than its factorization.

103550091264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 103550091264 by its sum of digits (36), we get a square (3727803285504 = 1930752²).

103550091264 divided by its sum of digits (36) gives a square (2876391424 = 53632²).

The spelling of 103550091264 in words is "one hundred three billion, five hundred fifty million, ninety-one thousand, two hundred sixty-four".