105021696 has 144 divisors (see below), whose sum is σ = 307450304. Its totient is φ = 31629312.

The previous prime is 105021689. The next prime is 105021727. The reversal of 105021696 is 696120501.

It is a super-2 number, since 2×105021696² = 22059113261432832, which contains 22 as substring.

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, 668850 + ... + 669006.

Almost surely, 2^105021696 is an apocalyptic number.

105021696 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 105021696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153725152).

105021696 is an abundant number, since it is smaller than the sum of its proper divisors (202428608).

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

105021696 is a wasteful number, since it uses less digits than its factorization.

105021696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 105021696 is about 10248.0093676772. The cubic root of 105021696 is about 471.8018894728.

The spelling of 105021696 in words is "one hundred five million, twenty-one thousand, six hundred ninety-six".