107603013050640 has 120 divisors (see below), whose sum is σ = 361369458552960. Its totient is φ = 28693924561152.

The previous prime is 107603013050461. The next prime is 107603013050693. The reversal of 107603013050640 is 46050310306701.

107603013050640 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 0 + 3 + 0 + 1 + 3 + 0 + 5 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107603013050595 and 107603013050604.

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, 113054979 + ... + 114002781.

It is an arithmetic number, because the mean of its divisors is an integer number (3011412154608).

Almost surely, 2^{107603013050640} is an apocalyptic number.

107603013050640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107603013050640 is an abundant number, since it is smaller than the sum of its proper divisors (253766445502320).

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

107603013050640 is a wasteful number, since it uses less digits than its factorization.

107603013050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105501 (or 1105492 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 107603013050640 in words is "one hundred seven trillion, six hundred three billion, thirteen million, fifty thousand, six hundred forty".