105061101000 has 128 divisors (see below), whose sum is σ = 328512188160. Its totient is φ = 27954624000.

The previous prime is 105061100983. The next prime is 105061101037. The reversal of 105061101000 is 101160501.

It is a super-2 number, since 2×105061101000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332685 + ... + 1409315.

It is an arithmetic number, because the mean of its divisors is an integer number (2566501470).

Almost surely, 2^105061101000 is an apocalyptic number.

105061101000 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 105061101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164256094080).

105061101000 is an abundant number, since it is smaller than the sum of its proper divisors (223451087160).

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

105061101000 is a wasteful number, since it uses less digits than its factorization.

105061101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77112 (or 77098 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 105061101000 its reverse (101160501), we get a palindrome (105162261501).

The spelling of 105061101000 in words is "one hundred five billion, sixty-one million, one hundred one thousand".