108797105664000 has 4680 divisors, whose sum is σ = 474324586184592. Its totient is φ = 24781278412800.

The previous prime is 108797105663993. The next prime is 108797105664007. The reversal of 108797105664000 is 466501797801.

108797105664000 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 9 + 71 + 0 + 566 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (108797105663993) and next prime (108797105664007).

It is a tau number, because it is divible by the number of its divisors (4680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108797105664007) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2530165247979 + ... + 2530165248021.

Almost surely, 2^{108797105664000} is an apocalyptic number.

108797105664000 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 108797105664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237162293092296).

108797105664000 is an abundant number, since it is smaller than the sum of its proper divisors (365527480520592).

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

108797105664000 is an equidigital number, since it uses as much as digits as its factorization.

108797105664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 108797105664000 in words is "one hundred eight trillion, seven hundred ninety-seven billion, one hundred five million, six hundred sixty-four thousand".