34142203100 has 72 divisors (see below), whose sum is σ = 75863144448. Its totient is φ = 13333521600.

The previous prime is 34142203093. The next prime is 34142203103. The reversal of 34142203100 is 130224143.

It is a super-2 number, since 2×34142203100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142203103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707957 + ... + 754643.

It is an arithmetic number, because the mean of its divisors is an integer number (1053654784).

Almost surely, 2^34142203100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34142203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37931572224).

34142203100 is an abundant number, since it is smaller than the sum of its proper divisors (41720941348).

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

34142203100 is a wasteful number, since it uses less digits than its factorization.

34142203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46875 (or 46868 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34142203100 its reverse (130224143), we get a palindrome (34272427243).

The spelling of 34142203100 in words is "thirty-four billion, one hundred forty-two million, two hundred three thousand, one hundred".