345054401772100 has 36 divisors (see below), whose sum is σ = 792813231369684. Its totient is φ = 129902833607680.

The previous prime is 345054401772089. The next prime is 345054401772121. The reversal of 345054401772100 is 1277104450543.

It can be written as a sum of positive squares in 6 ways, for example, as 385077338116 + 344669324433984 = 620546^2 + 18565272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101486587057 + ... + 101486590456.

It is an arithmetic number, because the mean of its divisors is an integer number (22022589760269).

Almost surely, 2^{345054401772100} is an apocalyptic number.

It is an amenable number.

345054401772100 is an abundant number, since it is smaller than the sum of its proper divisors (447758829597584).

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

345054401772100 is a wasteful number, since it uses less digits than its factorization.

345054401772100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202973177544 (or 202973177537 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 345054401772100 in words is "three hundred forty-five trillion, fifty-four billion, four hundred one million, seven hundred seventy-two thousand, one hundred".