100021752 has 24 divisors (see below), whose sum is σ = 270892440. Its totient is φ = 33340560.

The previous prime is 100021751. The next prime is 100021777. The reversal of 100021752 is 257120001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 694524 + ... + 694667.

It is an arithmetic number, because the mean of its divisors is an integer number (11287185).

Almost surely, 2^100021752 is an apocalyptic number.

100021752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100021752 is an abundant number, since it is smaller than the sum of its proper divisors (170870688).

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

100021752 is a wasteful number, since it uses less digits than its factorization.

100021752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389203 (or 1389196 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 100021752 is about 10001.0875408627. The cubic root of 100021752 is about 464.1925355348.

Adding to 100021752 its reverse (257120001), we get a palindrome (357141753).

The spelling of 100021752 in words is "one hundred million, twenty-one thousand, seven hundred fifty-two".