105055139000 has 128 divisors (see below), whose sum is σ = 290635862400. Its totient is φ = 34776806400.

The previous prime is 105055138999. The next prime is 105055139009. The reversal of 105055139000 is 931550501.

It is a happy number.

It is a super-2 number, since 2×105055139000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055139009) 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, 55757 + ... + 461756.

It is an arithmetic number, because the mean of its divisors is an integer number (2270592675).

Almost surely, 2^105055139000 is an apocalyptic number.

105055139000 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 105055139000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145317931200).

105055139000 is an abundant number, since it is smaller than the sum of its proper divisors (185580723400).

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

105055139000 is a wasteful number, since it uses less digits than its factorization.

105055139000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517570 (or 517556 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 29.

Adding to 105055139000 its reverse (931550501), we get a palindrome (105986689501).

The spelling of 105055139000 in words is "one hundred five billion, fifty-five million, one hundred thirty-nine thousand".