100838051 has 2 divisors, whose sum is σ = 100838052. Its totient is φ = 100838050.

The previous prime is 100838041. The next prime is 100838069. The reversal of 100838051 is 150838001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100838051 - 2¹⁰ = 100837027 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100838051.

It is not a weakly prime, because it can be changed into another prime (100838011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50419025 + 50419026.

It is an arithmetic number, because the mean of its divisors is an integer number (50419026).

Almost surely, 2^100838051 is an apocalyptic number.

100838051 is a deficient number, since it is larger than the sum of its proper divisors (1).

100838051 is an equidigital number, since it uses as much as digits as its factorization.

100838051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 100838051 is about 10041.8151247670. The cubic root of 100838051 is about 465.4519073811.

The spelling of 100838051 in words is "one hundred million, eight hundred thirty-eight thousand, fifty-one".