104801267088001 has 27 divisors (see below), whose sum is σ = 118078139429859. Its totient is φ = 92946031120800.

The previous prime is 104801267087989. The next prime is 104801267088059. The reversal of 104801267088001 is 100880762108401.

The square root of 104801267088001 is 10237249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5049912334401 + 99751354753600 = 2247201^2 + 9987560^2 .

It is not a de Polignac number, because 104801267088001 - 2¹⁹ = 104801266563713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104801267188001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4616987950 + ... + 4617010648.

Almost surely, 2^{104801267088001} is an apocalyptic number.

104801267088001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104801267088001 is the 10237249-th square number.

104801267088001 is the 5118625-th centered octagonal number.

It is an amenable number.

104801267088001 is a deficient number, since it is larger than the sum of its proper divisors (13276872341858).

104801267088001 is an frugal number, since it uses more digits than its factorization.

104801267088001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45502 (or 22751 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 46.

The spelling of 104801267088001 in words is "one hundred four trillion, eight hundred one billion, two hundred sixty-seven million, eighty-eight thousand, one".