106957829 has 32 divisors (see below), whose sum is σ = 129651840. Its totient is φ = 87816960.

The previous prime is 106957811. The next prime is 106957847. The reversal of 106957829 is 928759601.

It is an interprime number because it is at equal distance from previous prime (106957811) and next prime (106957847).

It is not a de Polignac number, because 106957829 - 2⁸ = 106957573 is a prime.

It is a super-2 number, since 2×106957829² = 22879954368786482, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106957849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656102 + ... + 656264.

It is an arithmetic number, because the mean of its divisors is an integer number (4051620).

Almost surely, 2^106957829 is an apocalyptic number.

It is an amenable number.

106957829 is a deficient number, since it is larger than the sum of its proper divisors (22694011).

106957829 is a wasteful number, since it uses less digits than its factorization.

106957829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 106957829 is about 10342.0418196795. The cubic root of 106957829 is about 474.6835624636.

The spelling of 106957829 in words is "one hundred six million, nine hundred fifty-seven thousand, eight hundred twenty-nine".