105434411532 has 24 divisors (see below), whose sum is σ = 247069485936. Its totient is φ = 34993966848.

The previous prime is 105434411513. The next prime is 105434411543. The reversal of 105434411532 is 235114434501.

It is a super-4 number, since 4×105434411532⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105434411493 and 105434411502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18851713 + ... + 18857304.

It is an arithmetic number, because the mean of its divisors is an integer number (10294561914).

Almost surely, 2^105434411532 is an apocalyptic number.

105434411532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105434411532 is an abundant number, since it is smaller than the sum of its proper divisors (141635074404).

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

105434411532 is a wasteful number, since it uses less digits than its factorization.

105434411532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37709257 (or 37709255 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 105434411532 in words is "one hundred five billion, four hundred thirty-four million, four hundred eleven thousand, five hundred thirty-two".