101952853 has 2 divisors, whose sum is σ = 101952854. Its totient is φ = 101952852.

The previous prime is 101952827. The next prime is 101952857. The reversal of 101952853 is 358259101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89548369 + 12404484 = 9463^2 + 3522^2 .

It is a cyclic number.

It is not a de Polignac number, because 101952853 - 2⁵ = 101952821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101952857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50976426 + 50976427.

It is an arithmetic number, because the mean of its divisors is an integer number (50976427).

Almost surely, 2^101952853 is an apocalyptic number.

It is an amenable number.

101952853 is a deficient number, since it is larger than the sum of its proper divisors (1).

101952853 is an equidigital number, since it uses as much as digits as its factorization.

101952853 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 101952853 is about 10097.1705442663. The cubic root of 101952853 is about 467.1608727597.

The spelling of 101952853 in words is "one hundred one million, nine hundred fifty-two thousand, eight hundred fifty-three".