105068652 has 72 divisors (see below), whose sum is σ = 268579584. Its totient is φ = 31951296.

The previous prime is 105068633. The next prime is 105068671. The reversal of 105068652 is 256860501.

It is an interprime number because it is at equal distance from previous prime (105068633) and next prime (105068671).

It is a super-2 number, since 2×105068652² = 22078843266194208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208633 + ... + 209135.

It is an arithmetic number, because the mean of its divisors is an integer number (3730272).

Almost surely, 2^105068652 is an apocalyptic number.

105068652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105068652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134289792).

105068652 is an abundant number, since it is smaller than the sum of its proper divisors (163510932).

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

105068652 is a wasteful number, since it uses less digits than its factorization.

105068652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 105068652 is about 10250.3000931680. The cubic root of 105068652 is about 471.8721944017.

The spelling of 105068652 in words is "one hundred five million, sixty-eight thousand, six hundred fifty-two".