10100961 has 36 divisors (see below), whose sum is σ = 16415100. Its totient is φ = 5975424.

The previous prime is 10100953. The next prime is 10100999. The reversal of 10100961 is 16900101.

It can be written as a sum of positive squares in 6 ways, for example, as 140625 + 9960336 = 375^2 + 3156^2 .

It is not a de Polignac number, because 10100961 - 2³ = 10100953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43995 + ... + 44223.

It is an arithmetic number, because the mean of its divisors is an integer number (455975).

Almost surely, 2^10100961 is an apocalyptic number.

It is an amenable number.

10100961 is a deficient number, since it is larger than the sum of its proper divisors (6314139).

10100961 is a wasteful number, since it uses less digits than its factorization.

10100961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 10100961 is about 3178.2009061732. The cubic root of 10100961 is about 216.1660888204.

The spelling of 10100961 in words is "ten million, one hundred thousand, nine hundred sixty-one".