103612041 has 63 divisors (see below), whose sum is σ = 174216549. Its totient is φ = 61562592.

The previous prime is 103612031. The next prime is 103612049. The reversal of 103612041 is 140216301.

It is a happy number.

The square root of 103612041 is 10179.

It is a perfect power (a square), and thus also a powerful number.

103612041 is a `hidden beast` number, since 10 + 3 + 612 + 0 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13286025 + 90326016 = 3645^2 + 9504^2 .

It is not a de Polignac number, because 103612041 - 2⁵ = 103612009 is a prime.

It is a super-3 number, since 3×103612041³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (103612049) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3572815 + ... + 3572843.

Almost surely, 2^103612041 is an apocalyptic number.

103612041 is the 10179-th square number.

103612041 is the 5090-th centered octagonal number.

It is an amenable number.

103612041 is a deficient number, since it is larger than the sum of its proper divisors (70604508).

103612041 is an frugal number, since it uses more digits than its factorization.

103612041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 103612041 is about 469.6814515697.

Multiplying 103612041 by its product of nonzero digits (144), we get a square (14920133904 = 122148²).

Adding to 103612041 its reverse (140216301), we get a palindrome (243828342).

The spelling of 103612041 in words is "one hundred three million, six hundred twelve thousand, forty-one".