105611001000 has 64 divisors (see below), whose sum is σ = 329506332480. Its totient is φ = 28162932800.

The previous prime is 105611000983. The next prime is 105611001011. The reversal of 105611001000 is 100116501.

It is a super-2 number, since 2×105611001000² (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 15 ways as a sum of consecutive naturals, for example, 17598834 + ... + 17604833.

It is an arithmetic number, because the mean of its divisors is an integer number (5148536445).

Almost surely, 2^105611001000 is an apocalyptic number.

105611001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105611001000 is an abundant number, since it is smaller than the sum of its proper divisors (223895331480).

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

105611001000 is a wasteful number, since it uses less digits than its factorization.

105611001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35203691 (or 35203677 counting only the distinct ones).

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

Adding to 105611001000 its reverse (100116501), we get a palindrome (105711117501).

The spelling of 105611001000 in words is "one hundred five billion, six hundred eleven million, one thousand".