100992441 has 16 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 61128720.

The previous prime is 100992431. The next prime is 100992449. The reversal of 100992441 is 144299001.

It is not a de Polignac number, because 100992441 - 2⁷ = 100992313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100992399 and 100992408.

It is not an unprimeable number, because it can be changed into a prime (100992449) 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, 33640 + ... + 36518.

It is an arithmetic number, because the mean of its divisors is an integer number (9192960).

Almost surely, 2^100992441 is an apocalyptic number.

100992441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100992441 is a deficient number, since it is larger than the sum of its proper divisors (46094919).

100992441 is a wasteful number, since it uses less digits than its factorization.

100992441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 100992441 is about 10049.4995397781. The cubic root of 100992441 is about 465.6893325582.

The spelling of 100992441 in words is "one hundred million, nine hundred ninety-two thousand, four hundred forty-one".