103368885368401 has 27 divisors (see below), whose sum is σ = 107462277651771. Its totient is φ = 99429835073184.

The previous prime is 103368885368387. The next prime is 103368885368467. The reversal of 103368885368401 is 104863588863301.

The square root of 103368885368401 is 10167049.

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., 9663387742801 + 93705497625600 = 3108599^2 + 9680160^2 .

It is not a de Polignac number, because 103368885368401 - 2⁴⁵ = 68184513279569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103368885368701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29291266405 + ... + 29291269933.

It is an arithmetic number, because the mean of its divisors is an integer number (3980084357473).

Almost surely, 2^{103368885368401} is an apocalyptic number.

103368885368401 is the 10167049-th square number.

103368885368401 is the 5083525-th centered octagonal number.

It is an amenable number.

103368885368401 is a deficient number, since it is larger than the sum of its proper divisors (4093392283370).

103368885368401 is an frugal number, since it uses more digits than its factorization.

103368885368401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 64.

The spelling of 103368885368401 in words is "one hundred three trillion, three hundred sixty-eight billion, eight hundred eighty-five million, three hundred sixty-eight thousand, four hundred one".