105140033134000 has 40 divisors (see below), whose sum is σ = 254228600122848. Its totient is φ = 42056013252800.

The previous prime is 105140033133973. The next prime is 105140033134093. The reversal of 105140033134000 is 431330041501.

105140033134000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105140033134000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26285006284 + ... + 26285010283.

Almost surely, 2^{105140033134000} is an apocalyptic number.

105140033134000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105140033134000 is an abundant number, since it is smaller than the sum of its proper divisors (149088566988848).

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

105140033134000 is an equidigital number, since it uses as much as digits as its factorization.

105140033134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52570016590 (or 52570016574 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 105140033134000 its reverse (431330041501), we get a palindrome (105571363175501).

The spelling of 105140033134000 in words is "one hundred five trillion, one hundred forty billion, thirty-three million, one hundred thirty-four thousand".