107463360090 has 64 divisors (see below), whose sum is σ = 264425347584. Its totient is φ = 27937947648.

The previous prime is 107463360089. The next prime is 107463360113. The reversal of 107463360090 is 90063364701.

107463360090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 214092 + ... + 510648.

It is an arithmetic number, because the mean of its divisors is an integer number (4131646056).

Almost surely, 2^107463360090 is an apocalyptic number.

107463360090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107463360090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132212673792).

107463360090 is an abundant number, since it is smaller than the sum of its proper divisors (156961987494).

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

107463360090 is a wasteful number, since it uses less digits than its factorization.

107463360090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296871.

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 107463360090 in words is "one hundred seven billion, four hundred sixty-three million, three hundred sixty thousand, ninety".