106412365 has 16 divisors (see below), whose sum is σ = 130371120. Its totient is φ = 83358720.

The previous prime is 106412363. The next prime is 106412377. The reversal of 106412365 is 563214601.

It can be written as a sum of positive squares in 8 ways, for example, as 7628644 + 98783721 = 2762^2 + 9939^2 .

It is not a de Polignac number, because 106412365 - 2¹ = 106412363 is a prime.

It is a super-2 number, since 2×106412365² = 22647182849786450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106412363) 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, 81397 + ... + 82693.

It is an arithmetic number, because the mean of its divisors is an integer number (8148195).

Almost surely, 2^106412365 is an apocalyptic number.

It is an amenable number.

106412365 is a deficient number, since it is larger than the sum of its proper divisors (23958755).

106412365 is a wasteful number, since it uses less digits than its factorization.

106412365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 106412365 is about 10315.6369168365. The cubic root of 106412365 is about 473.8752557372.

Adding to 106412365 its reverse (563214601), we get a palindrome (669626966).

It can be divided in two parts, 10641 and 2365, that multiplied together give a triangular number (25165965 = T₇₀₉₄).

The spelling of 106412365 in words is "one hundred six million, four hundred twelve thousand, three hundred sixty-five".