101352753 has 12 divisors (see below), whose sum is σ = 146486340. Its totient is φ = 67527936.

The previous prime is 101352749. The next prime is 101352817. The reversal of 101352753 is 357253101.

It can be written as a sum of positive squares in 2 ways, for example, as 6640929 + 94711824 = 2577^2 + 9732^2 .

It is not a de Polignac number, because 101352753 - 2² = 101352749 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101352703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24825 + ... + 28617.

It is an arithmetic number, because the mean of its divisors is an integer number (12207195).

Almost surely, 2^101352753 is an apocalyptic number.

It is an amenable number.

101352753 is a deficient number, since it is larger than the sum of its proper divisors (45133587).

101352753 is a wasteful number, since it uses less digits than its factorization.

101352753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 101352753 is about 10067.4104416180. The cubic root of 101352753 is about 466.2424904693.

The spelling of 101352753 in words is "one hundred one million, three hundred fifty-two thousand, seven hundred fifty-three".