107741456072705 has 384 divisors, whose sum is σ = 175430340771840. Its totient is φ = 61781718435840.

The previous prime is 107741456072681. The next prime is 107741456072797. The reversal of 107741456072705 is 507270654147701.

It is a happy number.

It is a Cunningham number, because it is equal to 47584³+1.

It is not a de Polignac number, because 107741456072705 - 2²⁸ = 107741187637249 is a prime.

It is a super-2 number, since 2×107741456072705² (a number of 29 digits) contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 107741456072705 = 1³ + 47584³ = 26914³ + 44521³.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 245424728876 + ... + 245424729314.

It is an arithmetic number, because the mean of its divisors is an integer number (456849845760).

Almost surely, 2^{107741456072705} is an apocalyptic number.

It is an amenable number.

107741456072705 is a deficient number, since it is larger than the sum of its proper divisors (67688884699135).

107741456072705 is a wasteful number, since it uses less digits than its factorization.

107741456072705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 56.

The spelling of 107741456072705 in words is "one hundred seven trillion, seven hundred forty-one billion, four hundred fifty-six million, seventy-two thousand, seven hundred five".