105375816 has 160 divisors (see below), whose sum is σ = 363464640. Its totient is φ = 27775872.

The previous prime is 105375797. The next prime is 105375839. The reversal of 105375816 is 618573501.

It is a super-2 number, since 2×105375816² = 22208125195331712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58075 + ... + 59861.

It is an arithmetic number, because the mean of its divisors is an integer number (2271654).

Almost surely, 2^105375816 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 105375816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181732320).

105375816 is an abundant number, since it is smaller than the sum of its proper divisors (258088824).

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

105375816 is a wasteful number, since it uses less digits than its factorization.

105375816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 105375816 is about 10265.2723295585. The cubic root of 105375816 is about 472.3315801865.

The spelling of 105375816 in words is "one hundred five million, three hundred seventy-five thousand, eight hundred sixteen".