826132101 has 16 divisors (see below), whose sum is σ = 1168888320. Its totient is φ = 517877360.

The previous prime is 826132093. The next prime is 826132123. The reversal of 826132101 is 101231628.

826132101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 826132101 - 2³ = 826132093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826132171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97395 + ... + 105536.

It is an arithmetic number, because the mean of its divisors is an integer number (73055520).

Almost surely, 2^826132101 is an apocalyptic number.

It is an amenable number.

826132101 is a deficient number, since it is larger than the sum of its proper divisors (342756219).

826132101 is a wasteful number, since it uses less digits than its factorization.

826132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203016.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 826132101 is about 28742.5138253424. The cubic root of 826132101 is about 938.3175355463.

Adding to 826132101 its reverse (101231628), we get a palindrome (927363729).

The spelling of 826132101 in words is "eight hundred twenty-six million, one hundred thirty-two thousand, one hundred one".