100213527 has 16 divisors (see below), whose sum is σ = 135055872. Its totient is φ = 66094560.

The previous prime is 100213511. The next prime is 100213583. The reversal of 100213527 is 725312001.

It is not a de Polignac number, because 100213527 - 2⁴ = 100213511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100203527) 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, 158502 + ... + 159132.

It is an arithmetic number, because the mean of its divisors is an integer number (8440992).

Almost surely, 2^100213527 is an apocalyptic number.

100213527 is a deficient number, since it is larger than the sum of its proper divisors (34842345).

100213527 is a wasteful number, since it uses less digits than its factorization.

100213527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 100213527 is about 10010.6706568541. The cubic root of 100213527 is about 464.4890166777.

Adding to 100213527 its reverse (725312001), we get a palindrome (825525528).

The spelling of 100213527 in words is "one hundred million, two hundred thirteen thousand, five hundred twenty-seven".