105077629 has 12 divisors (see below), whose sum is σ = 114069492. Its totient is φ = 96458240.

The previous prime is 105077597. The next prime is 105077647. The reversal of 105077629 is 926770501.

It can be written as a sum of positive squares in 6 ways, for example, as 6770404 + 98307225 = 2602^2 + 9915^2 .

It is not a de Polignac number, because 105077629 - 2⁵ = 105077597 is a prime.

It is a super-2 number, since 2×105077629² = 22082616232523282, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105077689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26739 + ... + 30415.

It is an arithmetic number, because the mean of its divisors is an integer number (9505791).

Almost surely, 2^105077629 is an apocalyptic number.

It is an amenable number.

105077629 is a deficient number, since it is larger than the sum of its proper divisors (8991863).

105077629 is an equidigital number, since it uses as much as digits as its factorization.

105077629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 105077629 is about 10250.7379734339. The cubic root of 105077629 is about 471.8856328408.

The spelling of 105077629 in words is "one hundred five million, seventy-seven thousand, six hundred twenty-nine".