105532416 has 176 divisors, whose sum is σ = 341930880. Its totient is φ = 31887360.

The previous prime is 105532409. The next prime is 105532433. The reversal of 105532416 is 614235501.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×105532416² = 22274181653594112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105532416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303955 + ... + 304301.

Almost surely, 2^105532416 is an apocalyptic number.

105532416 is a gapful number since it is divisible by the number (16) 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 105532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170965440).

105532416 is an abundant number, since it is smaller than the sum of its proper divisors (236398464).

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

105532416 is a wasteful number, since it uses less digits than its factorization.

105532416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105532416 is about 10272.8971570828. The cubic root of 105532416 is about 472.5654431904.

Adding to 105532416 its reverse (614235501), we get a palindrome (719767917).

The spelling of 105532416 in words is "one hundred five million, five hundred thirty-two thousand, four hundred sixteen".