10500061 has 16 divisors (see below), whose sum is σ = 12475008. Its totient is φ = 8712000.

The previous prime is 10500037. The next prime is 10500089. The reversal of 10500061 is 16000501.

It is not a de Polignac number, because 10500061 - 2⁷ = 10499933 is a prime.

It is a super-2 number, since 2×10500061² = 220502562007442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14080 + ... + 14806.

It is an arithmetic number, because the mean of its divisors is an integer number (779688).

Almost surely, 2^10500061 is an apocalyptic number.

10500061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10500061 is a deficient number, since it is larger than the sum of its proper divisors (1974947).

10500061 is a wasteful number, since it uses less digits than its factorization.

10500061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10500061 is about 3240.3797616946. The cubic root of 10500061 is about 218.9763810423.

Adding to 10500061 its reverse (16000501), we get a palindrome (26500562).

The spelling of 10500061 in words is "ten million, five hundred thousand, sixty-one".