105046416 has 80 divisors (see below), whose sum is σ = 305744320. Its totient is φ = 34525440.

The previous prime is 105046391. The next prime is 105046429. The reversal of 105046416 is 614640501.

105046416 is a `hidden beast` number, since 10 + 5 + 0 + 4 + 641 + 6 = 666.

It is a super-2 number, since 2×105046416² = 22069499028890112, 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 105046416.

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, 29871 + ... + 33201.

It is an arithmetic number, because the mean of its divisors is an integer number (3821804).

Almost surely, 2^105046416 is an apocalyptic number.

105046416 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 105046416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152872160).

105046416 is an abundant number, since it is smaller than the sum of its proper divisors (200697904).

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

105046416 is a wasteful number, since it uses less digits than its factorization.

105046416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105046416 is about 10249.2153846038. The cubic root of 105046416 is about 471.8389041348.

Adding to 105046416 its reverse (614640501), we get a palindrome (719686917).

The spelling of 105046416 in words is "one hundred five million, forty-six thousand, four hundred sixteen".