105263796 has 96 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 29491200.

The previous prime is 105263773. The next prime is 105263797. The reversal of 105263796 is 697362501.

It is a super-2 number, since 2×105263796² = 22160933496659232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105263797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136500 + ... + 137268.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 2^105263796 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 105263796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

105263796 is an abundant number, since it is smaller than the sum of its proper divisors (183467724).

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

105263796 is a wasteful number, since it uses less digits than its factorization.

105263796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 105263796 is about 10259.8146182083. The cubic root of 105263796 is about 472.1641497912.

It can be divided in two parts, 105 and 263796, that added together give a triangular number (263901 = T₇₂₆).

The spelling of 105263796 in words is "one hundred five million, two hundred sixty-three thousand, seven hundred ninety-six".