101103025 has 9 divisors (see below), whose sum is σ = 125430123. Its totient is φ = 80842200.

The previous prime is 101103001. The next prime is 101103031. The reversal of 101103025 is 520301101.

The square root of 101103025 is 10055.

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., 36397089 + 64705936 = 6033^2 + 8044^2 .

It is not a de Polignac number, because 101103025 - 2¹¹ = 101100977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102996 and 101103014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49270 + ... + 51280.

Almost surely, 2^101103025 is an apocalyptic number.

101103025 is the 10055-th square number.

101103025 is the 5028-th centered octagonal number.

It is an amenable number.

101103025 is a deficient number, since it is larger than the sum of its proper divisors (24327098).

101103025 is an frugal number, since it uses more digits than its factorization.

101103025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The cubic root of 101103025 is about 465.8592429787.

Adding to 101103025 its reverse (520301101), we get a palindrome (621404126).

The spelling of 101103025 in words is "one hundred one million, one hundred three thousand, twenty-five".