100042516 has 36 divisors (see below), whose sum is σ = 205505748. Its totient is φ = 42486528.

The previous prime is 100042513. The next prime is 100042531. The reversal of 100042516 is 615240001.

It can be written as a sum of positive squares in 2 ways, for example, as 960400 + 99082116 = 980^2 + 9954^2 .

It is a super-2 number, since 2×100042516² = 20017010015220512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100042493 and 100042502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100042513) 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, 19890 + ... + 24406.

It is an arithmetic number, because the mean of its divisors is an integer number (5708493).

Almost surely, 2^100042516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100042516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102752874).

100042516 is an abundant number, since it is smaller than the sum of its proper divisors (105463232).

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

100042516 is a wasteful number, since it uses less digits than its factorization.

100042516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 100042516 is about 10002.1255740967. The cubic root of 100042516 is about 464.2246546380.

Adding to 100042516 its reverse (615240001), we get a palindrome (715282517).

The spelling of 100042516 in words is "one hundred million, forty-two thousand, five hundred sixteen".