105651561000 has 64 divisors (see below), whose sum is σ = 329632879680. Its totient is φ = 28173748800.

The previous prime is 105651560977. The next prime is 105651561007. The reversal of 105651561000 is 165156501.

It is a super-2 number, since 2×105651561000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105651561007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17605594 + ... + 17611593.

It is an arithmetic number, because the mean of its divisors is an integer number (5150513745).

Almost surely, 2^105651561000 is an apocalyptic number.

105651561000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105651561000 is an abundant number, since it is smaller than the sum of its proper divisors (223981318680).

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

105651561000 is a wasteful number, since it uses less digits than its factorization.

105651561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35217211 (or 35217197 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105651561000 in words is "one hundred five billion, six hundred fifty-one million, five hundred sixty-one thousand".