100988753 has 2 divisors, whose sum is σ = 100988754. Its totient is φ = 100988752.

The previous prime is 100988729. The next prime is 100988761. The reversal of 100988753 is 357889001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99062209 + 1926544 = 9953^2 + 1388^2 .

It is a cyclic number.

It is not a de Polignac number, because 100988753 - 2²² = 96794449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100988753.

It is not a weakly prime, because it can be changed into another prime (100988053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50494376 + 50494377.

It is an arithmetic number, because the mean of its divisors is an integer number (50494377).

Almost surely, 2^100988753 is an apocalyptic number.

It is an amenable number.

100988753 is a deficient number, since it is larger than the sum of its proper divisors (1).

100988753 is an equidigital number, since it uses as much as digits as its factorization.

100988753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 100988753 is about 10049.3160463785. The cubic root of 100988753 is about 465.6836638727.

The spelling of 100988753 in words is "one hundred million, nine hundred eighty-eight thousand, seven hundred fifty-three".