10605117408 has 24 divisors (see below), whose sum is σ = 27838433448. Its totient is φ = 3535039104.

The previous prime is 10605117407. The next prime is 10605117409. The reversal of 10605117408 is 80471150601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10605117407) and next prime (10605117409).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10605117408² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605117407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55234891 + ... + 55235082.

It is an arithmetic number, because the mean of its divisors is an integer number (1159934727).

Almost surely, 2^10605117408 is an apocalyptic number.

It is an amenable number.

10605117408 is an abundant number, since it is smaller than the sum of its proper divisors (17233316040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10605117408 is a wasteful number, since it uses less digits than its factorization.

10605117408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110469986 (or 110469978 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10605117408 in words is "ten billion, six hundred five million, one hundred seventeen thousand, four hundred eight".