105105606150 has 144 divisors (see below), whose sum is σ = 267296923152. Its totient is φ = 27329433600.

The previous prime is 105105606131. The next prime is 105105606157. The reversal of 105105606150 is 51606501501.

It is a super-2 number, since 2×105105606150² (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 a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105606157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73345834 + ... + 73347266.

It is an arithmetic number, because the mean of its divisors is an integer number (1856228633).

Almost surely, 2^105105606150 is an apocalyptic number.

105105606150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105105606150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133648461576).

105105606150 is an abundant number, since it is smaller than the sum of its proper divisors (162191317002).

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

105105606150 is a wasteful number, since it uses less digits than its factorization.

105105606150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1611 counting only the distinct ones).

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

The spelling of 105105606150 in words is "one hundred five billion, one hundred five million, six hundred six thousand, one hundred fifty".