105135652846632 has 64 divisors (see below), whose sum is σ = 276437017935360. Its totient is φ = 33274826208000.

The previous prime is 105135652846613. The next prime is 105135652846673. The reversal of 105135652846632 is 236648256531501.

It is a happy number.

It is a super-2 number, since 2×105135652846632² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1333086619 + ... + 1333165482.

It is an arithmetic number, because the mean of its divisors is an integer number (4319328405240).

Almost surely, 2^{105135652846632} is an apocalyptic number.

105135652846632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105135652846632 is an abundant number, since it is smaller than the sum of its proper divisors (171301365088728).

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

105135652846632 is a wasteful number, since it uses less digits than its factorization.

105135652846632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666252194 (or 2666252190 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 57.

The spelling of 105135652846632 in words is "one hundred five trillion, one hundred thirty-five billion, six hundred fifty-two million, eight hundred forty-six thousand, six hundred thirty-two".