100434113 has 8 divisors (see below), whose sum is σ = 114522408. Its totient is φ = 87254784.

The previous prime is 100434083. The next prime is 100434143. The reversal of 100434113 is 311434001.

100434113 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (100434083) and next prime (100434143).

It can be written as a sum of positive squares in 4 ways, for example, as 27962944 + 72471169 = 5288^2 + 8513^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100434113 - 2⁶ = 100434049 is a prime.

It is a super-2 number, since 2×100434113² = 20174022108193538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 100434091 and 100434100.

It is not an unprimeable number, because it can be changed into a prime (100434143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227006 + ... + 227447.

It is an arithmetic number, because the mean of its divisors is an integer number (14315301).

Almost surely, 2^100434113 is an apocalyptic number.

100434113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100434113 is a deficient number, since it is larger than the sum of its proper divisors (14088295).

100434113 is a wasteful number, since it uses less digits than its factorization.

100434113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454483.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 100434113 is about 10021.6821442311. The cubic root of 100434113 is about 464.8295717980.

Adding to 100434113 its reverse (311434001), we get a palindrome (411868114).

The spelling of 100434113 in words is "one hundred million, four hundred thirty-four thousand, one hundred thirteen".