105115816 has 64 divisors (see below), whose sum is σ = 222163200. Its totient is φ = 46303488.

The previous prime is 105115799. The next prime is 105115817. The reversal of 105115816 is 618511501.

It is a super-2 number, since 2×105115816² = 22098669546691712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105115817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226801 + ... + 227263.

It is an arithmetic number, because the mean of its divisors is an integer number (3471300).

Almost surely, 2^105115816 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 105115816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111081600).

105115816 is an abundant number, since it is smaller than the sum of its proper divisors (117047384).

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

105115816 is a wasteful number, since it uses less digits than its factorization.

105115816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 28.

The square root of 105115816 is about 10252.6004506174. The cubic root of 105115816 is about 471.9427896761.

It can be divided in two parts, 105 and 115816, that added together give a triangular number (115921 = T₄₈₁).

The spelling of 105115816 in words is "one hundred five million, one hundred fifteen thousand, eight hundred sixteen".