105357696 has 64 divisors (see below), whose sum is σ = 289537200. Its totient is φ = 33904640.

The previous prime is 105357689. The next prime is 105357719. The reversal of 105357696 is 696753501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105357696² = 22200488212856832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6406 + ... + 15866.

Almost surely, 2^105357696 is an apocalyptic number.

105357696 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 105357696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144768600).

105357696 is an abundant number, since it is smaller than the sum of its proper divisors (184179504).

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

105357696 is an equidigital number, since it uses as much as digits as its factorization.

105357696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9507 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 105357696 is about 10264.3897042152. The cubic root of 105357696 is about 472.3045052239.

The spelling of 105357696 in words is "one hundred five million, three hundred fifty-seven thousand, six hundred ninety-six".