107457617760 has 48 divisors (see below), whose sum is σ = 338491497456. Its totient is φ = 28655364608.

The previous prime is 107457617759. The next prime is 107457617783. The reversal of 107457617760 is 67716754701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×107457617760² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111934539 + ... + 111935498.

It is an arithmetic number, because the mean of its divisors is an integer number (7051906197).

Almost surely, 2^107457617760 is an apocalyptic number.

107457617760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107457617760 is an abundant number, since it is smaller than the sum of its proper divisors (231033879696).

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

107457617760 is a wasteful number, since it uses less digits than its factorization.

107457617760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223870055 (or 223870047 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 51.

The spelling of 107457617760 in words is "one hundred seven billion, four hundred fifty-seven million, six hundred seventeen thousand, seven hundred sixty".