104375441944900 has 81 divisors (see below), whose sum is σ = 263475242279319. Its totient is φ = 35785620615360.

The previous prime is 104375441944889. The next prime is 104375441944931. The reversal of 104375441944900 is 9449144573401.

The square root of 104375441944900 is 10216430.

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 34973479890244 + 69401962054656 = 5913838^2 + 8330784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 715077126 + ... + 715223074.

Almost surely, 2^{104375441944900} is an apocalyptic number.

104375441944900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104375441944900 is the 10216430-th square number.

It is an amenable number.

104375441944900 is an abundant number, since it is smaller than the sum of its proper divisors (159099800334419).

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

104375441944900 is an frugal number, since it uses more digits than its factorization.

104375441944900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291926 (or 145963 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 104375441944900 in words is "one hundred four trillion, three hundred seventy-five billion, four hundred forty-one million, nine hundred forty-four thousand, nine hundred".