105032025 has 48 divisors (see below), whose sum is σ = 220521600. Its totient is φ = 48012480.

The previous prime is 105031991. The next prime is 105032041. The reversal of 105032025 is 520230501.

It is a happy number.

It is not a de Polignac number, because 105032025 - 2⁹ = 105031513 is a prime.

It is a super-2 number, since 2×105032025² = 22063452551201250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105031989 and 105032007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6390 + ... + 15839.

It is an arithmetic number, because the mean of its divisors is an integer number (4594200).

Almost surely, 2^105032025 is an apocalyptic number.

105032025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105032025 is an abundant number, since it is smaller than the sum of its proper divisors (115489575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105032025 is a wasteful number, since it uses less digits than its factorization.

105032025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22255 (or 22244 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105032025 is about 10248.5133068168. The cubic root of 105032025 is about 471.8173563784.

Adding to 105032025 its reverse (520230501), we get a palindrome (625262526).

The spelling of 105032025 in words is "one hundred five million, thirty-two thousand, twenty-five".