105139317104640 has 1344 divisors, whose sum is σ = 449330022400896. Its totient is φ = 22145522466816.

The previous prime is 105139317104623. The next prime is 105139317104777. The reversal of 105139317104640 is 46401713931501.

105139317104640 is a `hidden beast` number, since 1 + 0 + 5 + 13 + 9 + 3 + 171 + 0 + 464 + 0 = 666.

105139317104640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×105139317104640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22576617192 + ... + 22576621848.

It is an arithmetic number, because the mean of its divisors is an integer number (334322933334).

Almost surely, 2^{105139317104640} is an apocalyptic number.

105139317104640 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 105139317104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224665011200448).

105139317104640 is an abundant number, since it is smaller than the sum of its proper divisors (344190705296256).

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

105139317104640 is a wasteful number, since it uses less digits than its factorization.

105139317104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 105139317104640 in words is "one hundred five trillion, one hundred thirty-nine billion, three hundred seventeen million, one hundred four thousand, six hundred forty".