100105516 has 24 divisors (see below), whose sum is σ = 200581920. Its totient is φ = 42822912.

The previous prime is 100105507. The next prime is 100105517. The reversal of 100105516 is 615501001.

It is a super-2 number, since 2×100105516² = 20042228667252512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100105493 and 100105502.

It is not an unprimeable number, because it can be changed into a prime (100105517) 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, 13590 + ... + 19618.

It is an arithmetic number, because the mean of its divisors is an integer number (8357580).

Almost surely, 2^100105516 is an apocalyptic number.

It is an amenable number.

100105516 is an abundant number, since it is smaller than the sum of its proper divisors (100476404).

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

100105516 is a wasteful number, since it uses less digits than its factorization.

100105516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6633 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 100105516 is about 10005.2744090305. The cubic root of 100105516 is about 464.3220799377.

Adding to 100105516 its reverse (615501001), we get a palindrome (715606517).

The spelling of 100105516 in words is "one hundred million, one hundred five thousand, five hundred sixteen".