100827953 has 2 divisors, whose sum is σ = 100827954. Its totient is φ = 100827952.

The previous prime is 100827941. The next prime is 100827971. The reversal of 100827953 is 359728001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95101504 + 5726449 = 9752^2 + 2393^2 .

It is a cyclic number.

It is not a de Polignac number, because 100827953 - 2¹² = 100823857 is a prime.

It is a super-2 number, since 2×100827953² = 20332552212340418, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100817953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50413976 + 50413977.

It is an arithmetic number, because the mean of its divisors is an integer number (50413977).

Almost surely, 2^100827953 is an apocalyptic number.

It is an amenable number.

100827953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100827953 is an equidigital number, since it uses as much as digits as its factorization.

100827953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 100827953 is about 10041.3123146330. The cubic root of 100827953 is about 465.4363699584.

The spelling of 100827953 in words is "one hundred million, eight hundred twenty-seven thousand, nine hundred fifty-three".