105311361408 has 256 divisors, whose sum is σ = 328071168000. Its totient is φ = 29588613120.

The previous prime is 105311361403. The next prime is 105311361409. The reversal of 105311361408 is 804163113501.

It is a super-2 number, since 2×105311361408² (a number of 23 digits) 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 not an unprimeable number, because it can be changed into a prime (105311361401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3758073 + ... + 3785991.

It is an arithmetic number, because the mean of its divisors is an integer number (1281528000).

Almost surely, 2^105311361408 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 105311361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164035584000).

105311361408 is an abundant number, since it is smaller than the sum of its proper divisors (222759806592).

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

105311361408 is a wasteful number, since it uses less digits than its factorization.

105311361408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28013 (or 28001 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

Adding to 105311361408 its reverse (804163113501), we get a palindrome (909474474909).

The spelling of 105311361408 in words is "one hundred five billion, three hundred eleven million, three hundred sixty-one thousand, four hundred eight".