100543968 has 144 divisors (see below), whose sum is σ = 333287136. Its totient is φ = 28154880.

The previous prime is 100543939. The next prime is 100543969. The reversal of 100543968 is 869345001.

100543968 is a `hidden beast` number, since 100 + 543 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100543969) 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, 106378 + ... + 107318.

It is an arithmetic number, because the mean of its divisors is an integer number (2314494).

Almost surely, 2^100543968 is an apocalyptic number.

100543968 is a gapful number since it is divisible by the number (18) 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 100543968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166643568).

100543968 is an abundant number, since it is smaller than the sum of its proper divisors (232743168).

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

100543968 is a wasteful number, since it uses less digits than its factorization.

100543968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 100543968 is about 10027.1615126116. The cubic root of 100543968 is about 464.9989871639.

Adding to 100543968 its reverse (869345001), we get a palindrome (969888969).

The spelling of 100543968 in words is "one hundred million, five hundred forty-three thousand, nine hundred sixty-eight".