105452334432 has 336 divisors, whose sum is σ = 332126237520. Its totient is φ = 32827908096.

The previous prime is 105452334409. The next prime is 105452334509. The reversal of 105452334432 is 234433254501.

105452334432 is a `hidden beast` number, since 10 + 54 + 523 + 3 + 44 + 32 = 666.

It is a super-2 number, since 2×105452334432² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 55123108 + ... + 55125020.

It is an arithmetic number, because the mean of its divisors is an integer number (988470945).

Almost surely, 2^105452334432 is an apocalyptic number.

105452334432 is a gapful number since it is divisible by the number (12) 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 105452334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166063118760).

105452334432 is an abundant number, since it is smaller than the sum of its proper divisors (226673903088).

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

105452334432 is a wasteful number, since it uses less digits than its factorization.

105452334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 105452334432 its reverse (234433254501), we get a palindrome (339885588933).

The spelling of 105452334432 in words is "one hundred five billion, four hundred fifty-two million, three hundred thirty-four thousand, four hundred thirty-two".