106575637 has 12 divisors (see below), whose sum is σ = 124176780. Its totient is φ = 91202496.

The previous prime is 106575619. The next prime is 106575641. The reversal of 106575637 is 736575601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82428241 + 24147396 = 9079^2 + 4914^2 .

It is not a de Polignac number, because 106575637 - 2⁷ = 106575509 is a prime.

It is a super-2 number, since 2×106575637² = 22716732803911538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106575637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106575647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37689 + ... + 40417.

It is an arithmetic number, because the mean of its divisors is an integer number (10348065).

Almost surely, 2^106575637 is an apocalyptic number.

It is an amenable number.

106575637 is a deficient number, since it is larger than the sum of its proper divisors (17601143).

106575637 is an equidigital number, since it uses as much as digits as its factorization.

106575637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 40.

The square root of 106575637 is about 10323.5476944702. The cubic root of 106575637 is about 474.1174926981.

The spelling of 106575637 in words is "one hundred six million, five hundred seventy-five thousand, six hundred thirty-seven".