105262794 has 128 divisors (see below), whose sum is σ = 297615360. Its totient is φ = 26827200.

The previous prime is 105262783. The next prime is 105262799. The reversal of 105262794 is 497262501.

It is a super-2 number, since 2×105262794² = 22160511601372872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105262799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151989 + ... + 152679.

It is an arithmetic number, because the mean of its divisors is an integer number (2325120).

Almost surely, 2^105262794 is an apocalyptic number.

105262794 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105262794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148807680).

105262794 is an abundant number, since it is smaller than the sum of its proper divisors (192352566).

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

105262794 is a wasteful number, since it uses less digits than its factorization.

105262794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105262794 is about 10259.7657868004. The cubic root of 105262794 is about 472.1626516187.

The spelling of 105262794 in words is "one hundred five million, two hundred sixty-two thousand, seven hundred ninety-four".