105515816 has 96 divisors (see below), whose sum is σ = 250617600. Its totient is φ = 41368320.

The previous prime is 105515807. The next prime is 105515827. The reversal of 105515816 is 618515501.

It is a super-2 number, since 2×105515816² = 22267174852291712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230660 + ... + 231116.

It is an arithmetic number, because the mean of its divisors is an integer number (2610600).

Almost surely, 2^105515816 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 105515816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125308800).

105515816 is an abundant number, since it is smaller than the sum of its proper divisors (145101784).

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

105515816 is a wasteful number, since it uses less digits than its factorization.

105515816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 32.

The square root of 105515816 is about 10272.0891740678. The cubic root of 105515816 is about 472.5406640814.

The spelling of 105515816 in words is "one hundred five million, five hundred fifteen thousand, eight hundred sixteen".