108405197960640 has 448 divisors, whose sum is σ = 395833763340288. Its totient is φ = 24622343884800.

The previous prime is 108405197960599. The next prime is 108405197960681. The reversal of 108405197960640 is 46069791504801.

It is an interprime number because it is at equal distance from previous prime (108405197960599) and next prime (108405197960681).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4142174755 + ... + 4142200925.

It is an arithmetic number, because the mean of its divisors is an integer number (883557507456).

Almost surely, 2^{108405197960640} is an apocalyptic number.

108405197960640 is a gapful number since it is divisible by the number (10) 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 108405197960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197916881670144).

108405197960640 is an abundant number, since it is smaller than the sum of its proper divisors (287428565379648).

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

108405197960640 is a wasteful number, since it uses less digits than its factorization.

108405197960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30056 (or 30046 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 108405197960640 in words is "one hundred eight trillion, four hundred five billion, one hundred ninety-seven million, nine hundred sixty thousand, six hundred forty".