105550416 has 60 divisors (see below), whose sum is σ = 312777972. Its totient is φ = 33113088.

The previous prime is 105550397. The next prime is 105550439. The reversal of 105550416 is 614055501.

It is a happy number.

105550416 is a `hidden beast` number, since 105 + 550 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64641600 + 40908816 = 8040^2 + 6396^2 .

It is a super-2 number, since 2×105550416² = 22281780635546112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105550416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19111 + ... + 24006.

Almost surely, 2^105550416 is an apocalyptic number.

105550416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105550416 is an abundant number, since it is smaller than the sum of its proper divisors (207227556).

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

105550416 is a wasteful number, since it uses less digits than its factorization.

105550416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43148 (or 43139 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105550416 is about 10273.7732114350. The cubic root of 105550416 is about 472.5923091675.

The spelling of 105550416 in words is "one hundred five million, five hundred fifty thousand, four hundred sixteen".