10349668068100 has 27 divisors (see below), whose sum is σ = 22458849518847. Its totient is φ = 4139854358880.

The previous prime is 10349668068097. The next prime is 10349668068149. The reversal of 10349668068100 is 186086694301.

The square root of 10349668068100 is 3217090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 120724282116 + 10228943785984 = 347454^2 + 3198272^2 .

It is a super-2 number, since 2×10349668068100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32010046 + ... + 32331754.

Almost surely, 2^{10349668068100} is an apocalyptic number.

10349668068100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10349668068100 is the 3217090-th square number.

It is an amenable number.

10349668068100 is an abundant number, since it is smaller than the sum of its proper divisors (12109181450747).

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

10349668068100 is an frugal number, since it uses more digits than its factorization.

10349668068100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643432 (or 321716 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 10349668068100 in words is "ten trillion, three hundred forty-nine billion, six hundred sixty-eight million, sixty-eight thousand, one hundred".