108741000 has 128 divisors (see below), whose sum is σ = 344972160. Its totient is φ = 28512000.

The previous prime is 108740969. The next prime is 108741007. The reversal of 108741000 is 147801.

108741000 = T₃₄₄ + T₃₄₅ + ... + T₈₈₄.

It is a super-3 number, since 3×108741000³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (108741007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200730 + ... + 201270.

It is an arithmetic number, because the mean of its divisors is an integer number (2695095).

Almost surely, 2^108741000 is an apocalyptic number.

108741000 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 108741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172486080).

108741000 is an abundant number, since it is smaller than the sum of its proper divisors (236231160).

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

108741000 is a wasteful number, since it uses less digits than its factorization.

108741000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 108741000 is about 10427.8952814075. The cubic root of 108741000 is about 477.3069676527.

Adding to 108741000 its reverse (147801), we get a palindrome (108888801).

The spelling of 108741000 in words is "one hundred eight million, seven hundred forty-one thousand".