100213152 has 96 divisors (see below), whose sum is σ = 288308160. Its totient is φ = 30289920.

The previous prime is 100213133. The next prime is 100213153. The reversal of 100213152 is 251312001.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (100213153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72952 + ... + 74312.

It is an arithmetic number, because the mean of its divisors is an integer number (3003210).

Almost surely, 2^100213152 is an apocalyptic number.

100213152 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 100213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144154080).

100213152 is an abundant number, since it is smaller than the sum of its proper divisors (188095008).

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

100213152 is a wasteful number, since it uses less digits than its factorization.

100213152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 100213152 is about 10010.6519268227. The cubic root of 100213152 is about 464.4884373028.

Adding to 100213152 its reverse (251312001), we get a palindrome (351525153).

The spelling of 100213152 in words is "one hundred million, two hundred thirteen thousand, one hundred fifty-two".