342087542100 has 108 divisors (see below), whose sum is σ = 1076241233340. Its totient is φ = 90884160000.

The previous prime is 342087542087. The next prime is 342087542107. The reversal of 342087542100 is 1245780243.

It is a happy number.

342087542100 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 8 + 7 + 542 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 122956825104 + 219130716996 = 350652^2 + 468114^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342087542107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 464401 + ... + 948600.

It is an arithmetic number, because the mean of its divisors is an integer number (9965196605).

Almost surely, 2^342087542100 is an apocalyptic number.

342087542100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342087542100 is an abundant number, since it is smaller than the sum of its proper divisors (734153691240).

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

342087542100 is a wasteful number, since it uses less digits than its factorization.

342087542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413290 (or 1413280 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 342087542100 in words is "three hundred forty-two billion, eighty-seven million, five hundred forty-two thousand, one hundred".