100906829 has 4 divisors (see below), whose sum is σ = 104161920. Its totient is φ = 97651740.

The previous prime is 100906783. The next prime is 100906837. The reversal of 100906829 is 928609001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 928609001 = 89 ⋅10433809.

It is a cyclic number.

It is not a de Polignac number, because 100906829 - 2²⁴ = 84129613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100906879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1627499 + ... + 1627560.

It is an arithmetic number, because the mean of its divisors is an integer number (26040480).

Almost surely, 2^100906829 is an apocalyptic number.

It is an amenable number.

100906829 is a deficient number, since it is larger than the sum of its proper divisors (3255091).

100906829 is an equidigital number, since it uses as much as digits as its factorization.

100906829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255090.

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 100906829 is about 10045.2391210961. The cubic root of 100906829 is about 465.5577059874.

The spelling of 100906829 in words is "one hundred million, nine hundred six thousand, eight hundred twenty-nine".