100506849 has 16 divisors (see below), whose sum is σ = 140135424. Its totient is φ = 63954000.

The previous prime is 100506823. The next prime is 100506859. The reversal of 100506849 is 948605001.

It is not a de Polignac number, because 100506849 - 2⁹ = 100506337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100506859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38124 + ... + 40674.

It is an arithmetic number, because the mean of its divisors is an integer number (8758464).

Almost surely, 2^100506849 is an apocalyptic number.

It is an amenable number.

100506849 is a deficient number, since it is larger than the sum of its proper divisors (39628575).

100506849 is a wasteful number, since it uses less digits than its factorization.

100506849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 100506849 is about 10025.3104191342. The cubic root of 100506849 is about 464.9417570710.

The spelling of 100506849 in words is "one hundred million, five hundred six thousand, eight hundred forty-nine".