106169761 has 16 divisors (see below), whose sum is σ = 113486848. Its totient is φ = 99144000.

The previous prime is 106169753. The next prime is 106169809. The reversal of 106169761 is 167961601.

It is a 3-Lehmer number, since φ(106169761) divides (106169761-1)³.

It is a cyclic number.

It is not a de Polignac number, because 106169761 - 2³ = 106169753 is a prime.

It is a super-2 number, since 2×106169761² = 22544036301594242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106169761.

It is not an unprimeable number, because it can be changed into a prime (106169711) 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, 172891 + ... + 173503.

It is an arithmetic number, because the mean of its divisors is an integer number (7092928).

It is a Poulet number, since it divides 2^106169760-1.

Almost surely, 2^106169761 is an apocalyptic number.

It is an amenable number.

106169761 is a deficient number, since it is larger than the sum of its proper divisors (7317087).

106169761 is a wasteful number, since it uses less digits than its factorization.

106169761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832.

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

The square root of 106169761 is about 10303.8711657318. The cubic root of 106169761 is about 473.5148605575.

The spelling of 106169761 in words is "one hundred six million, one hundred sixty-nine thousand, seven hundred sixty-one".