105417900408 has 32 divisors (see below), whose sum is σ = 264444238800. Its totient is φ = 35019368448.

The previous prime is 105417900403. The next prime is 105417900421. The reversal of 105417900408 is 804009714501.

It is a super-2 number, since 2×105417900408² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105417900403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7488553 + ... + 7502616.

Almost surely, 2^105417900408 is an apocalyptic number.

It is an amenable number.

105417900408 is an abundant number, since it is smaller than the sum of its proper divisors (159026338392).

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

105417900408 is a wasteful number, since it uses less digits than its factorization.

105417900408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14991471 (or 14991467 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 105417900408 in words is "one hundred five billion, four hundred seventeen million, nine hundred thousand, four hundred eight".