105417984 has 72 divisors (see below), whose sum is σ = 320662720. Its totient is φ = 30117888.

The previous prime is 105417973. The next prime is 105417989. The reversal of 105417984 is 489714501.

It is a super-2 number, since 2×105417984² = 22225902701248512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105417989) 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, 4429 + ... + 15180.

Almost surely, 2^105417984 is an apocalyptic number.

105417984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105417984 is an abundant number, since it is smaller than the sum of its proper divisors (215244736).

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

105417984 is an equidigital number, since it uses as much as digits as its factorization.

105417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19635 (or 19621 counting only the distinct ones).

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

The square root of 105417984 is about 10267.3260394321. The cubic root of 105417984 is about 472.3945757348.

The spelling of 105417984 in words is "one hundred five million, four hundred seventeen thousand, nine hundred eighty-four".