105104541000 has 128 divisors (see below), whose sum is σ = 328505823360. Its totient is φ = 27978336000.

The previous prime is 105104540977. The next prime is 105104541001. The reversal of 105104541000 is 145401501.

It is a super-2 number, since 2×105104541000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105104541001) 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, 1682322 + ... + 1743678.

It is an arithmetic number, because the mean of its divisors is an integer number (2566451745).

Almost surely, 2^105104541000 is an apocalyptic number.

105104541000 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 105104541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164252911680).

105104541000 is an abundant number, since it is smaller than the sum of its proper divisors (223401282360).

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

105104541000 is a wasteful number, since it uses less digits than its factorization.

105104541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61952 (or 61938 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 105104541000 its reverse (145401501), we get a palindrome (105249942501).

The spelling of 105104541000 in words is "one hundred five billion, one hundred four million, five hundred forty-one thousand".