105426816 has 96 divisors (see below), whose sum is σ = 307948200. Its totient is φ = 31933440.

The previous prime is 105426793. The next prime is 105426821. The reversal of 105426816 is 618624501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105426816² = 22229627063795712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45330 + ... + 47598.

Almost surely, 2^105426816 is an apocalyptic number.

105426816 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 105426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153974100).

105426816 is an abundant number, since it is smaller than the sum of its proper divisors (202521384).

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

105426816 is a wasteful number, since it uses less digits than its factorization.

105426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 105426816 is about 10267.7561326709. The cubic root of 105426816 is about 472.4077678937.

The spelling of 105426816 in words is "one hundred five million, four hundred twenty-six thousand, eight hundred sixteen".