105695616 has 128 divisors (see below), whose sum is σ = 312560640. Its totient is φ = 31426560.

The previous prime is 105695587. The next prime is 105695671. The reversal of 105695616 is 616596501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105695616² = 22343126483238912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154411 + ... + 155093.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2^105695616 is an apocalyptic number.

105695616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105695616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

105695616 is an abundant number, since it is smaller than the sum of its proper divisors (206865024).

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

105695616 is a wasteful number, since it uses less digits than its factorization.

105695616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 105695616 is about 10280.8373199852. The cubic root of 105695616 is about 472.8089164348.

The spelling of 105695616 in words is "one hundred five million, six hundred ninety-five thousand, six hundred sixteen".