105562842030 has 128 divisors (see below), whose sum is σ = 284754476160. Its totient is φ = 27826606080.

The previous prime is 105562841987. The next prime is 105562842041. The reversal of 105562842030 is 30248265501.

105562842030 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 628 + 4 + 20 + 3 + 0 = 666.

It is a super-2 number, since 2×105562842030² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8344510 + ... + 8357150.

It is an arithmetic number, because the mean of its divisors is an integer number (2224644345).

Almost surely, 2^105562842030 is an apocalyptic number.

105562842030 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 105562842030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142377238080).

105562842030 is an abundant number, since it is smaller than the sum of its proper divisors (179191634130).

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

105562842030 is a wasteful number, since it uses less digits than its factorization.

105562842030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011 (or 13005 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 105562842030 in words is "one hundred five billion, five hundred sixty-two million, eight hundred forty-two thousand, thirty".