105676753 has 16 divisors (see below), whose sum is σ = 132523776. Its totient is φ = 82031040.

The previous prime is 105676717. The next prime is 105676793. The reversal of 105676753 is 357676501.

It is a happy number.

It is not a de Polignac number, because 105676753 - 2¹³ = 105668561 is a prime.

It is a super-2 number, since 2×105676753² = 22335152249246018, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105676793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6133 + ... + 15778.

It is an arithmetic number, because the mean of its divisors is an integer number (8282736).

Almost surely, 2^105676753 is an apocalyptic number.

105676753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105676753 is a deficient number, since it is larger than the sum of its proper divisors (26847023).

105676753 is a wasteful number, since it uses less digits than its factorization.

105676753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21984.

The product of its (nonzero) digits is 132300, while the sum is 40.

The square root of 105676753 is about 10279.9198926840. The cubic root of 105676753 is about 472.7807880995.

The spelling of 105676753 in words is "one hundred five million, six hundred seventy-six thousand, seven hundred fifty-three".