101353025 has 24 divisors (see below), whose sum is σ = 130934328. Its totient is φ = 77760000.

The previous prime is 101353001. The next prime is 101353033. The reversal of 101353025 is 520353101.

It can be written as a sum of positive squares in 12 ways, for example, as 69622336 + 31730689 = 8344^2 + 5633^2 .

It is not a de Polignac number, because 101353025 - 2⁶ = 101352961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101352988 and 101353006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61715 + ... + 63335.

It is an arithmetic number, because the mean of its divisors is an integer number (5455597).

Almost surely, 2^101353025 is an apocalyptic number.

It is an amenable number.

101353025 is a deficient number, since it is larger than the sum of its proper divisors (29581303).

101353025 is a wasteful number, since it uses less digits than its factorization.

101353025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 101353025 is about 10067.4239505446. The cubic root of 101353025 is about 466.2429075533.

The spelling of 101353025 in words is "one hundred one million, three hundred fifty-three thousand, twenty-five".