105610501000 has 64 divisors (see below), whose sum is σ = 247225455360. Its totient is φ = 42227640000.

The previous prime is 105610500997. The next prime is 105610501001. The reversal of 105610501000 is 105016501.

It is a super-2 number, since 2×105610501000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105610501001) 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, 2711665 + ... + 2750335.

It is an arithmetic number, because the mean of its divisors is an integer number (3862897740).

Almost surely, 2^105610501000 is an apocalyptic number.

105610501000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105610501000 is an abundant number, since it is smaller than the sum of its proper divisors (141614954360).

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

105610501000 is a wasteful number, since it uses less digits than its factorization.

105610501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41423 (or 41409 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 105610501000 its reverse (105016501), we get a palindrome (105715517501).

The spelling of 105610501000 in words is "one hundred five billion, six hundred ten million, five hundred one thousand".