100838451 has 16 divisors (see below), whose sum is σ = 153843200. Its totient is φ = 57552768.

The previous prime is 100838411. The next prime is 100838461. The reversal of 100838451 is 154838001.

It is not a de Polignac number, because 100838451 - 2¹¹ = 100836403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100838411) 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 in 15 ways as a sum of consecutive naturals, for example, 18810 + ... + 23568.

It is an arithmetic number, because the mean of its divisors is an integer number (9615200).

Almost surely, 2^100838451 is an apocalyptic number.

100838451 is a deficient number, since it is larger than the sum of its proper divisors (53004749).

100838451 is a wasteful number, since it uses less digits than its factorization.

100838451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 100838451 is about 10041.8350414653. The cubic root of 100838451 is about 465.4525228251.

The spelling of 100838451 in words is "one hundred million, eight hundred thirty-eight thousand, four hundred fifty-one".