101404525 has 12 divisors (see below), whose sum is σ = 125914932. Its totient is φ = 81011840.

The previous prime is 101404489. The next prime is 101404549. The reversal of 101404525 is 525404101.

It can be written as a sum of positive squares in 6 ways, for example, as 381924 + 101022601 = 618^2 + 10051^2 .

It is not a de Polignac number, because 101404525 - 2⁷ = 101404397 is a prime.

It is a super-3 number, since 3×101404525³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101404496 and 101404505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19059 + ... + 23791.

It is an arithmetic number, because the mean of its divisors is an integer number (10492911).

Almost surely, 2^101404525 is an apocalyptic number.

It is an amenable number.

101404525 is a deficient number, since it is larger than the sum of its proper divisors (24510407).

101404525 is an equidigital number, since it uses as much as digits as its factorization.

101404525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 101404525 is about 10069.9813803204. The cubic root of 101404525 is about 466.3218640651.

Adding to 101404525 its reverse (525404101), we get a palindrome (626808626).

The spelling of 101404525 in words is "one hundred one million, four hundred four thousand, five hundred twenty-five".