104272485732100 has 243 divisors, whose sum is σ = 279640057697469. Its totient is φ = 33643670860800.

The previous prime is 104272485732053. The next prime is 104272485732113. The reversal of 104272485732100 is 1237584272401.

The square root of 104272485732100 is 10211390.

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 101329147472644 + 2943338259456 = 10066238^2 + 1715616^2 .

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, 12151549810 + ... + 12151558390.

Almost surely, 2^{104272485732100} is an apocalyptic number.

104272485732100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104272485732100 is the 10211390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104272485732100

104272485732100 is an abundant number, since it is smaller than the sum of its proper divisors (175367571965369).

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

104272485732100 is an frugal number, since it uses more digits than its factorization.

104272485732100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17224 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 104272485732100 in words is "one hundred four trillion, two hundred seventy-two billion, four hundred eighty-five million, seven hundred thirty-two thousand, one hundred".