105665652 has 18 divisors (see below), whose sum is σ = 267099378. Its totient is φ = 35221872.

The previous prime is 105665641. The next prime is 105665653. The reversal of 105665652 is 256566501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 87721956 + 17943696 = 9366^2 + 4236^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105665652² = 22330460025170208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2935157 = 105665652 / (1 + 0 + 5 + 6 + 6 + 5 + 6 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105665653) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1467543 + ... + 1467614.

Almost surely, 2^105665652 is an apocalyptic number.

105665652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105665652 is an abundant number, since it is smaller than the sum of its proper divisors (161433726).

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

105665652 is a wasteful number, since it uses less digits than its factorization.

105665652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935167 (or 2935162 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 105665652 is about 10279.3799423895. The cubic root of 105665652 is about 472.7642328239.

The spelling of 105665652 in words is "one hundred five million, six hundred sixty-five thousand, six hundred fifty-two".