1034359534100 has 72 divisors (see below), whose sum is σ = 2252210667000. Its totient is φ = 412334899200.

The previous prime is 1034359534099. The next prime is 1034359534121. The reversal of 1034359534100 is 14359534301.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 233542160644 + 800817373456 = 483262^2 + 894884^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74295140 + ... + 74309060.

Almost surely, 2^{1034359534100} is an apocalyptic number.

1034359534100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034359534100 is an abundant number, since it is smaller than the sum of its proper divisors (1217851132900).

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

1034359534100 is a wasteful number, since it uses less digits than its factorization.

1034359534100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16413 (or 16406 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The spelling of 1034359534100 in words is "one trillion, thirty-four billion, three hundred fifty-nine million, five hundred thirty-four thousand, one hundred".