105630165300 has 144 divisors (see below), whose sum is σ = 337628390400. Its totient is φ = 25283107200.

The previous prime is 105630165293. The next prime is 105630165307. The reversal of 105630165300 is 3561036501.

It is an interprime number because it is at equal distance from previous prime (105630165293) and next prime (105630165307).

It is a super-2 number, since 2×105630165300² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (105630165307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58111 + ... + 463289.

It is an arithmetic number, because the mean of its divisors is an integer number (2344641600).

Almost surely, 2^105630165300 is an apocalyptic number.

105630165300 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 105630165300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168814195200).

105630165300 is an abundant number, since it is smaller than the sum of its proper divisors (231998225100).

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

105630165300 is a wasteful number, since it uses less digits than its factorization.

105630165300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405286 (or 405279 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 105630165300 in words is "one hundred five billion, six hundred thirty million, one hundred sixty-five thousand, three hundred".