105034120374030 has 64 divisors (see below), whose sum is σ = 254104063960320. Its totient is φ = 27784743819264.

The previous prime is 105034120374017. The next prime is 105034120374119. The reversal of 105034120374030 is 30473021430501.

It is a happy number.

It is a super-2 number, since 2×105034120374030² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105034120373982 and 105034120374000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5273524 + ... + 15423303.

It is an arithmetic number, because the mean of its divisors is an integer number (3970375999380).

Almost surely, 2^{105034120374030} is an apocalyptic number.

105034120374030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105034120374030 is an abundant number, since it is smaller than the sum of its proper divisors (149069943586290).

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

105034120374030 is a wasteful number, since it uses less digits than its factorization.

105034120374030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20698193.

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 105034120374030 in words is "one hundred five trillion, thirty-four billion, one hundred twenty million, three hundred seventy-four thousand, thirty".