107148343905 has 48 divisors (see below), whose sum is σ = 187593719040. Its totient is φ = 56572775424.

The previous prime is 107148343901. The next prime is 107148343933. The reversal of 107148343905 is 509343841701.

107148343905 is a `hidden beast` number, since 10 + 71 + 483 + 4 + 3 + 90 + 5 = 666.

It is not a de Polignac number, because 107148343905 - 2² = 107148343901 is a prime.

It is a super-2 number, since 2×107148343905² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107148343901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2183752 + ... + 2232278.

It is an arithmetic number, because the mean of its divisors is an integer number (3908202480).

Almost surely, 2^107148343905 is an apocalyptic number.

107148343905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107148343905 is a deficient number, since it is larger than the sum of its proper divisors (80445375135).

107148343905 is a wasteful number, since it uses less digits than its factorization.

107148343905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49030 (or 49027 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 107148343905 in words is "one hundred seven billion, one hundred forty-eight million, three hundred forty-three thousand, nine hundred five".