10100061 has 12 divisors (see below), whose sum is σ = 14789788. Its totient is φ = 6640704.

The previous prime is 10100047. The next prime is 10100089. The reversal of 10100061 is 16000101.

It can be written as a sum of positive squares in 2 ways, for example, as 2232036 + 7868025 = 1494^2 + 2805^2 .

It is not a de Polignac number, because 10100061 - 2⁶ = 10099997 is a prime.

It is a super-2 number, since 2×10100061² = 204022464407442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100011) 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 11 ways as a sum of consecutive naturals, for example, 7030 + ... + 8343.

Almost surely, 2^10100061 is an apocalyptic number.

It is an amenable number.

10100061 is a deficient number, since it is larger than the sum of its proper divisors (4689727).

10100061 is a wasteful number, since it uses less digits than its factorization.

10100061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15452 (or 15449 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10100061 is about 3178.0593134805. The cubic root of 10100061 is about 216.1596684657.

Adding to 10100061 its reverse (16000101), we get a palindrome (26100162).

The spelling of 10100061 in words is "ten million, one hundred thousand, sixty-one".