34105502142 has 80 divisors (see below), whose sum is σ = 79142421600. Its totient is φ = 10964600640.

The previous prime is 34105502111. The next prime is 34105502149. The reversal of 34105502142 is 24120550143.

34105502142 is a `hidden beast` number, since 3 + 4 + 10 + 5 + 502 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105502149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5018767 + ... + 5025557.

It is an arithmetic number, because the mean of its divisors is an integer number (989280270).

Almost surely, 2^34105502142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34105502142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39571210800).

34105502142 is an abundant number, since it is smaller than the sum of its proper divisors (45036919458).

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

34105502142 is a wasteful number, since it uses less digits than its factorization.

34105502142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7894 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 34105502142 in words is "thirty-four billion, one hundred five million, five hundred two thousand, one hundred forty-two".