101414025 has 60 divisors (see below), whose sum is σ = 191165964. Its totient is φ = 53136000.

The previous prime is 101413981. The next prime is 101414029. The reversal of 101414025 is 520414101.

It can be written as a sum of positive squares in 6 ways, for example, as 28772496 + 72641529 = 5364^2 + 8523^2 .

It is not a de Polignac number, because 101414025 - 2¹⁰ = 101413001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101413989 and 101414007.

It is not an unprimeable number, because it can be changed into a prime (101414029) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 123115 + ... + 123935.

Almost surely, 2^101414025 is an apocalyptic number.

101414025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101414025 is a deficient number, since it is larger than the sum of its proper divisors (89751939).

101414025 is an equidigital number, since it uses as much as digits as its factorization.

101414025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 101414025 is about 10070.4530682586. The cubic root of 101414025 is about 466.3364259379.

Adding to 101414025 its reverse (520414101), we get a palindrome (621828126).

The spelling of 101414025 in words is "one hundred one million, four hundred fourteen thousand, twenty-five".