29390602116100 has 27 divisors (see below), whose sum is σ = 63777724234581. Its totient is φ = 11756219161200.

The previous prime is 29390602116097. The next prime is 29390602116101. The reversal of 29390602116100 is 161120609392.

The square root of 29390602116100 is 5421310.

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

It can be written as a sum of positive squares in only one way, i.e., 10580616761796 + 18809985354304 = 3252786^2 + 4337048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29390602116101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53942035 + ... + 54484165.

Almost surely, 2^{29390602116100} is an apocalyptic number.

29390602116100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29390602116100 is the 5421310-th square number.

It is an amenable number.

29390602116100 is an abundant number, since it is smaller than the sum of its proper divisors (34387122118481).

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

29390602116100 is an frugal number, since it uses more digits than its factorization.

29390602116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084276 (or 542138 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 29390602116100 in words is "twenty-nine trillion, three hundred ninety billion, six hundred two million, one hundred sixteen thousand, one hundred".