105626416 has 80 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 43303680.

The previous prime is 105626399. The next prime is 105626429. The reversal of 105626416 is 614626501.

It is a super-2 number, since 2×105626416² = 22313879514010112, which contains 22 as substring.

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, 294045 + ... + 294403.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2^105626416 is an apocalyptic number.

105626416 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 105626416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

105626416 is an abundant number, since it is smaller than the sum of its proper divisors (138643664).

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

105626416 is a wasteful number, since it uses less digits than its factorization.

105626416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 105626416 is about 10277.4712843189. The cubic root of 105626416 is about 472.7057096315.

It can be divided in two parts, 1056 and 26416, that added together give a palindrome (27472).

The spelling of 105626416 in words is "one hundred five million, six hundred twenty-six thousand, four hundred sixteen".