105311435449440 has 384 divisors, whose sum is σ = 364886061603840. Its totient is φ = 25318933299200.

The previous prime is 105311435449417. The next prime is 105311435449447. The reversal of 105311435449440 is 44944534113501.

It is a super-2 number, since 2×105311435449440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 105311435449440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105311435449447) 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, 745713556 + ... + 745854764.

It is an arithmetic number, because the mean of its divisors is an integer number (950224118760).

Almost surely, 2^{105311435449440} is an apocalyptic number.

105311435449440 is a gapful number since it is divisible by the number (10) 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 105311435449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182443030801920).

105311435449440 is an abundant number, since it is smaller than the sum of its proper divisors (259574626154400).

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

105311435449440 is a wasteful number, since it uses less digits than its factorization.

105311435449440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142406 (or 142398 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 105311435449440 in words is "one hundred five trillion, three hundred eleven billion, four hundred thirty-five million, four hundred forty-nine thousand, four hundred forty".