105432000 has 224 divisors, whose sum is σ = 365174784. Its totient is φ = 26752000.

The previous prime is 105431993. The next prime is 105432013. The reversal of 105432000 is 234501.

It is a super-2 number, since 2×105432000² = 22231813248000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551905 + ... + 552095.

Almost surely, 2^105432000 is an apocalyptic number.

105432000 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 105432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182587392).

105432000 is an abundant number, since it is smaller than the sum of its proper divisors (259742784).

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

105432000 is a wasteful number, since it uses less digits than its factorization.

105432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 105432000 is about 10268.0085703120. The cubic root of 105432000 is about 472.4155107742.

Adding to 105432000 its reverse (234501), we get a palindrome (105666501).

The spelling of 105432000 in words is "one hundred five million, four hundred thirty-two thousand".