105248301079040 has 320 divisors, whose sum is σ = 289374672407040. Its totient is φ = 35963283701760.

The previous prime is 105248301078997. The next prime is 105248301079171. The reversal of 105248301079040 is 40970103842501.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×105248301079040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105248301078982 and 105248301079000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6535935629 + ... + 6535951731.

It is an arithmetic number, because the mean of its divisors is an integer number (904295851272).

Almost surely, 2^{105248301079040} is an apocalyptic number.

105248301079040 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 105248301079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144687336203520).

105248301079040 is an abundant number, since it is smaller than the sum of its proper divisors (184126371328000).

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

105248301079040 is an equidigital number, since it uses as much as digits as its factorization.

105248301079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17343 (or 17327 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 105248301079040 in words is "one hundred five trillion, two hundred forty-eight billion, three hundred one million, seventy-nine thousand, forty".