105535001430 has 48 divisors (see below), whose sum is σ = 275977119600. Its totient is φ = 27979988544.

The previous prime is 105535001419. The next prime is 105535001431. The reversal of 105535001430 is 34100535501.

105535001430 is a `hidden beast` number, since 10 + 5 + 5 + 3 + 500 + 143 + 0 = 666.

It is a super-2 number, since 2×105535001430² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105535001394 and 105535001403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535001431) 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, 3373480 + ... + 3404619.

It is an arithmetic number, because the mean of its divisors is an integer number (5749523325).

Almost surely, 2^105535001430 is an apocalyptic number.

105535001430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105535001430 is an abundant number, since it is smaller than the sum of its proper divisors (170442118170).

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

105535001430 is a wasteful number, since it uses less digits than its factorization.

105535001430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778285 (or 6778282 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 105535001430 its reverse (34100535501), we get a palindrome (139635536931).

The spelling of 105535001430 in words is "one hundred five billion, five hundred thirty-five million, one thousand, four hundred thirty".