105263737440 has 192 divisors, whose sum is σ = 338382842112. Its totient is φ = 27498240000.

The previous prime is 105263737351. The next prime is 105263737441. The reversal of 105263737440 is 44737362501.

It is a super-2 number, since 2×105263737440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105263737392 and 105263737401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105263737441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7342119 + ... + 7356441.

It is an arithmetic number, because the mean of its divisors is an integer number (1762410636).

Almost surely, 2^105263737440 is an apocalyptic number.

105263737440 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 105263737440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169191421056).

105263737440 is an abundant number, since it is smaller than the sum of its proper divisors (233119104672).

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

105263737440 is a wasteful number, since it uses less digits than its factorization.

105263737440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14653 (or 14645 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 105263737440 in words is "one hundred five billion, two hundred sixty-three million, seven hundred thirty-seven thousand, four hundred forty".