105263147368440 has 320 divisors, whose sum is σ = 366035437944000. Its totient is φ = 27099698411520.

The previous prime is 105263147368403. The next prime is 105263147368441. The reversal of 105263147368440 is 44863741362501.

105263147368440 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 63 + 14 + 73 + 68 + 440 = 666.

It is a super-2 number, since 2×105263147368440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105263147368441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1134144756 + ... + 1134237564.

It is an arithmetic number, because the mean of its divisors is an integer number (1143860743575).

Almost surely, 2^{105263147368440} is an apocalyptic number.

105263147368440 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 105263147368440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183017718972000).

105263147368440 is an abundant number, since it is smaller than the sum of its proper divisors (260772290575560).

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

105263147368440 is a wasteful number, since it uses less digits than its factorization.

105263147368440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104932 (or 104919 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 105263147368440 in words is "one hundred five trillion, two hundred sixty-three billion, one hundred forty-seven million, three hundred sixty-eight thousand, four hundred forty".