105601050030 has 48 divisors (see below), whose sum is σ = 294820894800. Its totient is φ = 24137382528.

The previous prime is 105601050029. The next prime is 105601050031. The reversal of 105601050030 is 30050106501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105601050029) and next prime (105601050031).

It is a super-2 number, since 2×105601050030² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105601049979 and 105601050006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105601050031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35917255 + ... + 35920194.

It is an arithmetic number, because the mean of its divisors is an integer number (6142101975).

Almost surely, 2^105601050030 is an apocalyptic number.

105601050030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105601050030 is an abundant number, since it is smaller than the sum of its proper divisors (189219844770).

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

105601050030 is a wasteful number, since it uses less digits than its factorization.

105601050030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71837473 (or 71837466 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 105601050030 its reverse (30050106501), we get a palindrome (135651156531).

The spelling of 105601050030 in words is "one hundred five billion, six hundred one million, fifty thousand, thirty".