105415464 has 192 divisors, whose sum is σ = 347198400. Its totient is φ = 26342400.

The previous prime is 105415459. The next prime is 105415481. The reversal of 105415464 is 464514501.

It is a super-2 number, since 2×105415464² = 22224840100670592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375004 + ... + 375284.

It is an arithmetic number, because the mean of its divisors is an integer number (1808325).

Almost surely, 2^105415464 is an apocalyptic number.

105415464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105415464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173599200).

105415464 is an abundant number, since it is smaller than the sum of its proper divisors (241782936).

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

105415464 is a wasteful number, since it uses less digits than its factorization.

105415464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 105415464 is about 10267.2033193076. The cubic root of 105415464 is about 472.3908115326.

Adding to 105415464 its reverse (464514501), we get a palindrome (569929965).

The spelling of 105415464 in words is "one hundred five million, four hundred fifteen thousand, four hundred sixty-four".