103575644092944 has 45 divisors (see below), whose sum is σ = 289868290184109. Its totient is φ = 34525173988800.

The previous prime is 103575644092867. The next prime is 103575644092969. The reversal of 103575644092944 is 449290446575301.

The square root of 103575644092944 is 10177212.

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

103575644092944 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 7 + 564 + 4 + 0 + 9 + 29 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40403668406544 + 63171975686400 = 6356388^2 + 7948080^2 .

It is a super-3 number, since 3×103575644092944³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 121702494 + ... + 122550594.

Almost surely, 2^{103575644092944} is an apocalyptic number.

103575644092944 is the 10177212-nd square number.

It is an amenable number.

103575644092944 is an abundant number, since it is smaller than the sum of its proper divisors (186292646091165).

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

103575644092944 is an frugal number, since it uses more digits than its factorization.

103575644092944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696216 (or 848106 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 103575644092944 in words is "one hundred three trillion, five hundred seventy-five billion, six hundred forty-four million, ninety-two thousand, nine hundred forty-four".