101048625 has 24 divisors (see below), whose sum is σ = 182159016. Its totient is φ = 53892000.

The previous prime is 101048621. The next prime is 101048627. The reversal of 101048625 is 526840101.

It can be written as a sum of positive squares in 4 ways, for example, as 22353984 + 78694641 = 4728^2 + 8871^2 .

It is not a de Polignac number, because 101048625 - 2² = 101048621 is a prime.

It is a super-2 number, since 2×101048625² = 20421649228781250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101048621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43786 + ... + 46035.

It is an arithmetic number, because the mean of its divisors is an integer number (7589959).

Almost surely, 2^101048625 is an apocalyptic number.

101048625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101048625 is a deficient number, since it is larger than the sum of its proper divisors (81110391).

101048625 is an equidigital number, since it uses as much as digits as its factorization.

101048625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89842 (or 89829 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 101048625 is about 10052.2945141893. The cubic root of 101048625 is about 465.7756738025.

Adding to 101048625 its reverse (526840101), we get a palindrome (627888726).

The spelling of 101048625 in words is "one hundred one million, forty-eight thousand, six hundred twenty-five".