106129691 has 16 divisors (see below), whose sum is σ = 116430048. Its totient is φ = 96345600.

The previous prime is 106129679. The next prime is 106129711. The reversal of 106129691 is 196921601.

It is a cyclic number.

It is not a de Polignac number, because 106129691 - 2²² = 101935387 is a prime.

It is a super-2 number, since 2×106129691² = 22527022623510962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106129601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53996 + ... + 55926.

It is an arithmetic number, because the mean of its divisors is an integer number (7276878).

Almost surely, 2^106129691 is an apocalyptic number.

106129691 is a deficient number, since it is larger than the sum of its proper divisors (10300357).

106129691 is a wasteful number, since it uses less digits than its factorization.

106129691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062.

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 106129691 is about 10301.9265673951. The cubic root of 106129691 is about 473.4552826144.

The spelling of 106129691 in words is "one hundred six million, one hundred twenty-nine thousand, six hundred ninety-one".