108970233174000 has 640 divisors, whose sum is σ = 426173804559360. Its totient is φ = 26396471808000.

The previous prime is 108970233173981. The next prime is 108970233174029. The reversal of 108970233174000 is 471332079801.

108970233174000 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 7 + 0 + 233 + 1 + 7 + 400 + 0 = 666.

It is a super-2 number, since 2×108970233174000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 770347279 + ... + 770488721.

It is an arithmetic number, because the mean of its divisors is an integer number (665896569624).

Almost surely, 2^{108970233174000} is an apocalyptic number.

108970233174000 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 108970233174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213086902279680).

108970233174000 is an abundant number, since it is smaller than the sum of its proper divisors (317203571385360).

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

108970233174000 is a wasteful number, since it uses less digits than its factorization.

108970233174000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142783 (or 142761 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 108970233174000 in words is "one hundred eight trillion, nine hundred seventy billion, two hundred thirty-three million, one hundred seventy-four thousand".