100215829 has 12 divisors (see below), whose sum is σ = 117192684. Its totient is φ = 85446144.

The previous prime is 100215811. The next prime is 100215859. The reversal of 100215829 is 928512001.

It can be written as a sum of positive squares in 2 ways, for example, as 11573604 + 88642225 = 3402^2 + 9415^2 .

It is not a de Polignac number, because 100215829 - 2⁷ = 100215701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100215797 and 100215806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100215809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4159 + ... + 14755.

It is an arithmetic number, because the mean of its divisors is an integer number (9766057).

Almost surely, 2^100215829 is an apocalyptic number.

It is an amenable number.

100215829 is a deficient number, since it is larger than the sum of its proper divisors (16976855).

100215829 is a wasteful number, since it uses less digits than its factorization.

100215829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804 (or 10797 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 100215829 is about 10010.7856335055. The cubic root of 100215829 is about 464.4925732352.

The spelling of 100215829 in words is "one hundred million, two hundred fifteen thousand, eight hundred twenty-nine".