105035257266240 has 896 divisors, whose sum is σ = 392385174405120. Its totient is φ = 23312240640000.

The previous prime is 105035257266227. The next prime is 105035257266257. The reversal of 105035257266240 is 42662752530501.

It is a Cunningham number, because it is equal to 10248671²-1.

It is a super-2 number, since 2×105035257266240² (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 105035257266240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8096444394 + ... + 8096457366.

Almost surely, 2^{105035257266240} is an apocalyptic number.

105035257266240 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 105035257266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196192587202560).

105035257266240 is an abundant number, since it is smaller than the sum of its proper divisors (287349917138880).

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

105035257266240 is a wasteful number, since it uses less digits than its factorization.

105035257266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13331 (or 13321 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 105035257266240 in words is "one hundred five trillion, thirty-five billion, two hundred fifty-seven million, two hundred sixty-six thousand, two hundred forty".