105144536430 has 192 divisors, whose sum is σ = 305683372800. Its totient is φ = 25645818240.

The previous prime is 105144536351. The next prime is 105144536437. The reversal of 105144536430 is 34635441501.

105144536430 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 4 + 5 + 3 + 643 + 0 = 666.

It is a super-2 number, since 2×105144536430² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105144536437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4302145 + ... + 4326515.

It is an arithmetic number, because the mean of its divisors is an integer number (1592100900).

Almost surely, 2^105144536430 is an apocalyptic number.

105144536430 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 105144536430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152841686400).

105144536430 is an abundant number, since it is smaller than the sum of its proper divisors (200538836370).

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

105144536430 is a wasteful number, since it uses less digits than its factorization.

105144536430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24464 (or 24429 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 105144536430 its reverse (34635441501), we get a palindrome (139779977931).

The spelling of 105144536430 in words is "one hundred five billion, one hundred forty-four million, five hundred thirty-six thousand, four hundred thirty".