106162045417 has 8 divisors (see below), whose sum is σ = 113227362216. Its totient is φ = 99187894272.

The previous prime is 106162045397. The next prime is 106162045471. The reversal of 106162045417 is 714540261601.

It can be written as a sum of positive squares in 4 ways, for example, as 57115742121 + 49046303296 = 238989^2 + 221464^2 .

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

It is not a de Polignac number, because 106162045417 - 2³¹ = 104014561769 is a prime.

It is a super-2 number, since 2×106162045417² (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 (106162045117) 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, 22789008 + ... + 22793665.

It is an arithmetic number, because the mean of its divisors is an integer number (14153420277).

Almost surely, 2^106162045417 is an apocalyptic number.

106162045417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106162045417 is a deficient number, since it is larger than the sum of its proper divisors (7065316799).

106162045417 is a wasteful number, since it uses less digits than its factorization.

106162045417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45582827.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 106162045417 in words is "one hundred six billion, one hundred sixty-two million, forty-five thousand, four hundred seventeen".