107075261671345 has 24 divisors (see below), whose sum is σ = 141233917769280. Its totient is φ = 77872497040800.

The previous prime is 107075261671337. The next prime is 107075261671457. The reversal of 107075261671345 is 543176162570701.

It is a happy number.

It is not a de Polignac number, because 107075261671345 - 2³ = 107075261671337 is a prime.

It is a super-2 number, since 2×107075261671345² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151618266 + ... + 152322844.

It is an arithmetic number, because the mean of its divisors is an integer number (5884746573720).

Almost surely, 2^{107075261671345} is an apocalyptic number.

It is an amenable number.

107075261671345 is a deficient number, since it is larger than the sum of its proper divisors (34158656097935).

107075261671345 is a wasteful number, since it uses less digits than its factorization.

107075261671345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955797 (or 955786 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 55.

The spelling of 107075261671345 in words is "one hundred seven trillion, seventy-five billion, two hundred sixty-one million, six hundred seventy-one thousand, three hundred forty-five".