10107844461 has 24 divisors (see below), whose sum is σ = 17152707936. Its totient is φ = 5654737440.

The previous prime is 10107844457. The next prime is 10107844471. The reversal of 10107844461 is 16444870101.

10107844461 is a `hidden beast` number, since 10 + 107 + 84 + 4 + 461 = 666.

It is not a de Polignac number, because 10107844461 - 2² = 10107844457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10107844421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3925615 + ... + 3928188.

It is an arithmetic number, because the mean of its divisors is an integer number (714696164).

Almost surely, 2^10107844461 is an apocalyptic number.

10107844461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10107844461 is a deficient number, since it is larger than the sum of its proper divisors (7044863475).

10107844461 is a wasteful number, since it uses less digits than its factorization.

10107844461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853833 (or 7853830 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10107844461 in words is "ten billion, one hundred seven million, eight hundred forty-four thousand, four hundred sixty-one".