106972129 has 8 divisors (see below), whose sum is σ = 116843040. Its totient is φ = 97125600.

The previous prime is 106972121. The next prime is 106972139. The reversal of 106972129 is 921279601.

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

It is not a de Polignac number, because 106972129 - 2³ = 106972121 is a prime.

It is a super-2 number, since 2×106972129² = 22886072765585282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106972121) 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 7 ways as a sum of consecutive naturals, for example, 3789 + ... + 15109.

It is an arithmetic number, because the mean of its divisors is an integer number (14605380).

Almost surely, 2^106972129 is an apocalyptic number.

It is an amenable number.

106972129 is a deficient number, since it is larger than the sum of its proper divisors (9870911).

106972129 is a wasteful number, since it uses less digits than its factorization.

106972129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12191.

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 106972129 is about 10342.7331494146. The cubic root of 106972129 is about 474.7047161978.

The spelling of 106972129 in words is "one hundred six million, nine hundred seventy-two thousand, one hundred twenty-nine".