105212775408 has 320 divisors, whose sum is σ = 311668051968. Its totient is φ = 30339809280.

The previous prime is 105212775403. The next prime is 105212775427. The reversal of 105212775408 is 804577212501.

It is a super-2 number, since 2×105212775408² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105212775408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105212775403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244112953 + ... + 244113383.

Almost surely, 2^105212775408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105212775408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155834025984).

105212775408 is an abundant number, since it is smaller than the sum of its proper divisors (206455276560).

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

105212775408 is a wasteful number, since it uses less digits than its factorization.

105212775408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

Adding to 105212775408 its reverse (804577212501), we get a palindrome (909789987909).

The spelling of 105212775408 in words is "one hundred five billion, two hundred twelve million, seven hundred seventy-five thousand, four hundred eight".