105430533120 has 880 divisors, whose sum is σ = 417731060736. Its totient is φ = 25425100800.

The previous prime is 105430533107. The next prime is 105430533133. The reversal of 105430533120 is 21335034501.

105430533120 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 0 + 533 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (105430533107) and next prime (105430533133).

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×105430533120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 551992225 + ... + 551992415.

Almost surely, 2^105430533120 is an apocalyptic number.

105430533120 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 105430533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208865530368).

105430533120 is an abundant number, since it is smaller than the sum of its proper divisors (312300527616).

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

105430533120 is an equidigital number, since it uses as much as digits as its factorization.

105430533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 105430533120 its reverse (21335034501), we get a palindrome (126765567621).

The spelling of 105430533120 in words is "one hundred five billion, four hundred thirty million, five hundred thirty-three thousand, one hundred twenty".