106829749 has 8 divisors (see below), whose sum is σ = 115714872. Its totient is φ = 98040000.

The previous prime is 106829743. The next prime is 106829773. The reversal of 106829749 is 947928601.

It can be written as a sum of positive squares in 4 ways, for example, as 23107249 + 83722500 = 4807^2 + 9150^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106829749 - 2⁷ = 106829621 is a prime.

It is a super-2 number, since 2×106829749² = 22825190542806002, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106829699 and 106829708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106829743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21502 + ... + 25999.

It is an arithmetic number, because the mean of its divisors is an integer number (14464359).

Almost surely, 2^106829749 is an apocalyptic number.

It is an amenable number.

106829749 is a deficient number, since it is larger than the sum of its proper divisors (8885123).

106829749 is a wasteful number, since it uses less digits than its factorization.

106829749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47687.

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 106829749 is about 10335.8477639718. The cubic root of 106829749 is about 474.4940118861.

The spelling of 106829749 in words is "one hundred six million, eight hundred twenty-nine thousand, seven hundred forty-nine".