105432140 has 72 divisors (see below), whose sum is σ = 256285680. Its totient is φ = 36305280.

The previous prime is 105432137. The next prime is 105432143. The reversal of 105432140 is 41234501.

It is an interprime number because it is at equal distance from previous prime (105432137) and next prime (105432143).

It is a super-2 number, since 2×105432140² = 22231872289959200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (105432143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44834 + ... + 47126.

Almost surely, 2^105432140 is an apocalyptic number.

105432140 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 105432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128142840).

105432140 is an abundant number, since it is smaller than the sum of its proper divisors (150853540).

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

105432140 is a wasteful number, since it uses less digits than its factorization.

105432140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105432140 is about 10268.0153876005. The cubic root of 105432140 is about 472.4157198763.

Adding to 105432140 its reverse (41234501), we get a palindrome (146666641).

The spelling of 105432140 in words is "one hundred five million, four hundred thirty-two thousand, one hundred forty".