104132035510272 has 2048 divisors, whose sum is σ = 395214175641600. Its totient is φ = 26647398973440.

The previous prime is 104132035510219. The next prime is 104132035510319. The reversal of 104132035510272 is 272015530231401.

104132035510272 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 3 + 20 + 355 + 10 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 623545122733 + ... + 623545122899.

It is an arithmetic number, because the mean of its divisors is an integer number (192975671700).

Almost surely, 2^{104132035510272} is an apocalyptic number.

104132035510272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104132035510272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197607087820800).

104132035510272 is an abundant number, since it is smaller than the sum of its proper divisors (291082140131328).

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

104132035510272 is an frugal number, since it uses more digits than its factorization.

104132035510272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 104132035510272 its reverse (272015530231401), we get a palindrome (376147565741673).

The spelling of 104132035510272 in words is "one hundred four trillion, one hundred thirty-two billion, thirty-five million, five hundred ten thousand, two hundred seventy-two".