10506103461 has 60 divisors (see below), whose sum is σ = 18750628512. Its totient is φ = 5742302544.

The previous prime is 10506103393. The next prime is 10506103469. The reversal of 10506103461 is 16430160501.

10506103461 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 610 + 3 + 46 + 1 = 666.

10506103461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10506103461 - 2¹⁴ = 10506087077 is a prime.

It is a super-2 number, since 2×10506103461² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506103469) 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 59 ways as a sum of consecutive naturals, for example, 282430 + ... + 317456.

Almost surely, 2^10506103461 is an apocalyptic number.

It is an amenable number.

10506103461 is a deficient number, since it is larger than the sum of its proper divisors (8244525051).

10506103461 is an equidigital number, since it uses as much as digits as its factorization.

10506103461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35092 (or 35060 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10506103461 its reverse (16430160501), we get a palindrome (26936263962).

The spelling of 10506103461 in words is "ten billion, five hundred six million, one hundred three thousand, four hundred sixty-one".