103009544401 has 9 divisors (see below), whose sum is σ = 103800906651. Its totient is φ = 102224177304.

The previous prime is 103009544387. The next prime is 103009544413. The reversal of 103009544401 is 104445900301.

The square root of 103009544401 is 320951.

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., 85937508801 + 17072035600 = 293151^2 + 130660^2 .

It is a de Polignac number, because none of the positive numbers 2^k-103009544401 is a prime.

It is a super-2 number, since 2×103009544401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103009544431) 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 8 ways as a sum of consecutive naturals, for example, 44611035 + ... + 44613343.

Almost surely, 2^103009544401 is an apocalyptic number.

103009544401 is the 320951-st square number.

103009544401 is the 160476-th centered octagonal number.

It is an amenable number.

103009544401 is a deficient number, since it is larger than the sum of its proper divisors (791362250).

103009544401 is an frugal number, since it uses more digits than its factorization.

103009544401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 103009544401 in words is "one hundred three billion, nine million, five hundred forty-four thousand, four hundred one".