105368652 has 36 divisors (see below), whose sum is σ = 282017736. Its totient is φ = 33056640.

The previous prime is 105368651. The next prime is 105368663. The reversal of 105368652 is 256863501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105368652² = 22205105648594208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105368651) 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 11 ways as a sum of consecutive naturals, for example, 85474 + ... + 86697.

It is an arithmetic number, because the mean of its divisors is an integer number (7833826).

Almost surely, 2^105368652 is an apocalyptic number.

105368652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105368652 is an abundant number, since it is smaller than the sum of its proper divisors (176649084).

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

105368652 is a wasteful number, since it uses less digits than its factorization.

105368652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172198 (or 172193 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 105368652 is about 10264.9233801329. The cubic root of 105368652 is about 472.3208760856.

The spelling of 105368652 in words is "one hundred five million, three hundred sixty-eight thousand, six hundred fifty-two".