107677362457104 has 160 divisors (see below), whose sum is σ = 306939542469120. Its totient is φ = 32254936243200.

The previous prime is 107677362457087. The next prime is 107677362457117. The reversal of 107677362457104 is 401754263776701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191964219 + ... + 192524325.

It is an arithmetic number, because the mean of its divisors is an integer number (1918372140432).

Almost surely, 2^{107677362457104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107677362457104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153469771234560).

107677362457104 is an abundant number, since it is smaller than the sum of its proper divisors (199262180012016).

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

107677362457104 is a wasteful number, since it uses less digits than its factorization.

107677362457104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564309 (or 564303 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 60.

The spelling of 107677362457104 in words is "one hundred seven trillion, six hundred seventy-seven billion, three hundred sixty-two million, four hundred fifty-seven thousand, one hundred four".