108370386432 has 640 divisors, whose sum is σ = 406738252800. Its totient is φ = 27670118400.

The previous prime is 108370386407. The next prime is 108370386457. The reversal of 108370386432 is 234683073801.

108370386432 is a `hidden beast` number, since 108 + 37 + 0 + 3 + 86 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (108370386407) and next prime (108370386457).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64930494 + ... + 64932162.

It is an arithmetic number, because the mean of its divisors is an integer number (635528520).

Almost surely, 2^108370386432 is an apocalyptic number.

108370386432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108370386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203369126400).

108370386432 is an abundant number, since it is smaller than the sum of its proper divisors (298367866368).

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

108370386432 is a wasteful number, since it uses less digits than its factorization.

108370386432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 108370386432 in words is "one hundred eight billion, three hundred seventy million, three hundred eighty-six thousand, four hundred thirty-two".