104954779625536 has 63 divisors (see below), whose sum is σ = 221244389399719. Its totient is φ = 49389828866048.

The previous prime is 104954779625503. The next prime is 104954779625561. The reversal of 104954779625536 is 635526977459401.

The square root of 104954779625536 is 10244744.

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 2794112833600 + 102160666791936 = 1671560^2 + 10107456^2 .

It is a super-2 number, since 2×104954779625536² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1393247520 + ... + 1393322848.

Almost surely, 2^{104954779625536} is an apocalyptic number.

104954779625536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104954779625536 is the 10244744-th square number.

It is an amenable number.

104954779625536 is an abundant number, since it is smaller than the sum of its proper divisors (116289609774183).

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

104954779625536 is an frugal number, since it uses more digits than its factorization.

104954779625536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150704 (or 75348 counting only the distinct ones).

The product of its (nonzero) digits is 1714608000, while the sum is 73.

The spelling of 104954779625536 in words is "one hundred four trillion, nine hundred fifty-four billion, seven hundred seventy-nine million, six hundred twenty-five thousand, five hundred thirty-six".