10652142105 has 96 divisors (see below), whose sum is σ = 21322604160. Its totient is φ = 4870333440.

The previous prime is 10652142101. The next prime is 10652142113. The reversal of 10652142105 is 50124125601.

10652142105 is a `hidden beast` number, since 1 + 0 + 652 + 1 + 4 + 2 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 10652142105 - 2² = 10652142101 is a prime.

It is a super-2 number, since 2×10652142105² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10652142101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608637 + ... + 625893.

It is an arithmetic number, because the mean of its divisors is an integer number (222110460).

Almost surely, 2^10652142105 is an apocalyptic number.

10652142105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10652142105 is an abundant number, since it is smaller than the sum of its proper divisors (10670462055).

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

10652142105 is a wasteful number, since it uses less digits than its factorization.

10652142105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17351 (or 17348 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10652142105 its reverse (50124125601), we get a palindrome (60776267706).

The spelling of 10652142105 in words is "ten billion, six hundred fifty-two million, one hundred forty-two thousand, one hundred five".