104189177436100 has 243 divisors, whose sum is σ = 243066480915573. Its totient is φ = 38757074411520.

The previous prime is 104189177436089. The next prime is 104189177436121. The reversal of 104189177436100 is 1634771981401.

The square root of 104189177436100 is 10207310.

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 41490526046596 + 62698651389504 = 6441314^2 + 7918248^2 .

It is a super-2 number, since 2×104189177436100² (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 80 ways as a sum of consecutive naturals, for example, 168318541591 + ... + 168318542209.

Almost surely, 2^{104189177436100} is an apocalyptic number.

104189177436100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104189177436100 is the 10207310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104189177436100

104189177436100 is an abundant number, since it is smaller than the sum of its proper divisors (138877303479473).

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

104189177436100 is an frugal number, since it uses more digits than its factorization.

104189177436100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 104189177436100 in words is "one hundred four trillion, one hundred eighty-nine billion, one hundred seventy-seven million, four hundred thirty-six thousand, one hundred".