10135434352110 has 48 divisors (see below), whose sum is σ = 24730351137648. Its totient is φ = 2658474554880.

The previous prime is 10135434352093. The next prime is 10135434352123. The reversal of 10135434352110 is 1125343453101.

It is a super-2 number, since 2×10135434352110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45285819 + ... + 45509078.

It is an arithmetic number, because the mean of its divisors is an integer number (515215648701).

Almost surely, 2^{10135434352110} is an apocalyptic number.

10135434352110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10135434352110 is an abundant number, since it is smaller than the sum of its proper divisors (14594916785538).

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

10135434352110 is an equidigital number, since it uses as much as digits as its factorization.

10135434352110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90795029 (or 90794968 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10135434352110 in words is "ten trillion, one hundred thirty-five billion, four hundred thirty-four million, three hundred fifty-two thousand, one hundred ten".