106129921601 has 8 divisors (see below), whose sum is σ = 119770444800. Its totient is φ = 93154789840.

The previous prime is 106129921561. The next prime is 106129921643.

106129921601 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106129921601 is a prime.

It is a super-2 number, since 2×106129921601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106129920601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166347521 + ... + 166348158.

It is an arithmetic number, because the mean of its divisors is an integer number (14971305600).

Almost surely, 2^106129921601 is an apocalyptic number.

106129921601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106129921601 is a deficient number, since it is larger than the sum of its proper divisors (13640523199).

106129921601 is a wasteful number, since it uses less digits than its factorization.

106129921601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332695719.

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 106129921601 in words is "one hundred six billion, one hundred twenty-nine million, nine hundred twenty-one thousand, six hundred one".