108285729120 has 384 divisors, whose sum is σ = 384268147200. Its totient is φ = 28477495296.

The previous prime is 108285729113. The next prime is 108285729127. The reversal of 108285729120 is 21927582801.

It is an interprime number because it is at equal distance from previous prime (108285729113) and next prime (108285729127).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108285729127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146529711 + ... + 146530449.

It is an arithmetic number, because the mean of its divisors is an integer number (1000698300).

Almost surely, 2^108285729120 is an apocalyptic number.

108285729120 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 108285729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192134073600).

108285729120 is an abundant number, since it is smaller than the sum of its proper divisors (275982418080).

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

108285729120 is a wasteful number, since it uses less digits than its factorization.

108285729120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 108285729120 in words is "one hundred eight billion, two hundred eighty-five million, seven hundred twenty-nine thousand, one hundred twenty".