106575601 has 16 divisors (see below), whose sum is σ = 125134848. Its totient is φ = 89683200.

The previous prime is 106575593. The next prime is 106575619.

106575601 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 106575601 - 2³ = 106575593 is a prime.

It is a super-2 number, since 2×106575601² = 22716717457022402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106575641) 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, 6736 + ... + 16078.

It is an arithmetic number, because the mean of its divisors is an integer number (7820928).

Almost surely, 2^106575601 is an apocalyptic number.

106575601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106575601 is a deficient number, since it is larger than the sum of its proper divisors (18559247).

106575601 is a wasteful number, since it uses less digits than its factorization.

106575601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432.

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 106575601 is about 10323.5459508833. The cubic root of 106575601 is about 474.1174393143.

The spelling of 106575601 in words is "one hundred six million, five hundred seventy-five thousand, six hundred one".