29897868100 has 27 divisors (see below), whose sum is σ = 64882126141. Its totient is φ = 11958455600.

The previous prime is 29897868089. The next prime is 29897868103. The reversal of 29897868100 is 186879892.

The square root of 29897868100 is 172910.

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., 10763232516 + 19134635584 = 103746^2 + 138328^2 .

It is a super-2 number, since 2×29897868100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29897868103) 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, 1720455 + ... + 1737745.

Almost surely, 2^29897868100 is an apocalyptic number.

29897868100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29897868100 is the 172910-th square number.

It is an amenable number.

29897868100 is an abundant number, since it is smaller than the sum of its proper divisors (34984258041).

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

29897868100 is an frugal number, since it uses more digits than its factorization.

29897868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34596 (or 17298 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 58.

The spelling of 29897868100 in words is "twenty-nine billion, eight hundred ninety-seven million, eight hundred sixty-eight thousand, one hundred".