10416103965 has 24 divisors (see below), whose sum is σ = 18360594720. Its totient is φ = 5461097184.

The previous prime is 10416103937. The next prime is 10416103967. The reversal of 10416103965 is 56930161401.

10416103965 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 610 + 39 + 6 + 5 = 666.

It is not a de Polignac number, because 10416103965 - 2⁷ = 10416103837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416103967) 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, 1958947 + ... + 1964256.

It is an arithmetic number, because the mean of its divisors is an integer number (765024780).

Almost surely, 2^10416103965 is an apocalyptic number.

10416103965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10416103965 is a deficient number, since it is larger than the sum of its proper divisors (7944490755).

10416103965 is a wasteful number, since it uses less digits than its factorization.

10416103965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923273 (or 3923270 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10416103965 in words is "ten billion, four hundred sixteen million, one hundred three thousand, nine hundred sixty-five".