105510606000 has 160 divisors (see below), whose sum is σ = 349360609728. Its totient is φ = 27375667200.

The previous prime is 105510605987. The next prime is 105510606007. The reversal of 105510606000 is 606015501.

It is a super-2 number, since 2×105510606000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105510606007) 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, 15637 + ... + 459636.

Almost surely, 2^105510606000 is an apocalyptic number.

105510606000 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 105510606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174680304864).

105510606000 is an abundant number, since it is smaller than the sum of its proper divisors (243850003728).

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

105510606000 is a wasteful number, since it uses less digits than its factorization.

105510606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475336 (or 475320 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 105510606000 in words is "one hundred five billion, five hundred ten million, six hundred six thousand".