101337225 has 24 divisors (see below), whose sum is σ = 182776992. Its totient is φ = 49132800.

The previous prime is 101337209. The next prime is 101337227. The reversal of 101337225 is 522733101.

It is not a de Polignac number, because 101337225 - 2⁴ = 101337209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101337195 and 101337204.

It is not an unprimeable number, because it can be changed into a prime (101337227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60592 + ... + 62241.

It is an arithmetic number, because the mean of its divisors is an integer number (7615708).

Almost surely, 2^101337225 is an apocalyptic number.

101337225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101337225 is a deficient number, since it is larger than the sum of its proper divisors (81439767).

101337225 is a wasteful number, since it uses less digits than its factorization.

101337225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122857 (or 122852 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 101337225 is about 10066.6392107793. The cubic root of 101337225 is about 466.2186786407.

The spelling of 101337225 in words is "one hundred one million, three hundred thirty-seven thousand, two hundred twenty-five".