103988985855001 has 9 divisors (see below), whose sum is σ = 112603601605599. Its totient is φ = 95989710726936.

The previous prime is 103988985854993. The next prime is 103988985855019. The reversal of 103988985855001 is 100558589889301.

The square root of 103988985855001 is 10197499.

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., 15382986073225 + 88605999781776 = 3922115^2 + 9413076^2 .

It is not a de Polignac number, because 103988985855001 - 2³ = 103988985854993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103988985855701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 132175276 + ... + 132959698.

It is an arithmetic number, because the mean of its divisors is an integer number (12511511289511).

Almost surely, 2^{103988985855001} is an apocalyptic number.

103988985855001 is the 10197499-th square number.

103988985855001 is the 5098750-th centered octagonal number.

It is an amenable number.

103988985855001 is a deficient number, since it is larger than the sum of its proper divisors (8614615750598).

103988985855001 is an frugal number, since it uses more digits than its factorization.

103988985855001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568872 (or 784436 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 70.

The spelling of 103988985855001 in words is "one hundred three trillion, nine hundred eighty-eight billion, nine hundred eighty-five million, eight hundred fifty-five thousand, one".