29925540100 has 27 divisors (see below), whose sum is σ = 64942176117. Its totient is φ = 11969524080.

The previous prime is 29925540089. The next prime is 29925540119. The reversal of 29925540100 is 104552992.

The square root of 29925540100 is 172990.

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., 10773194436 + 19152345664 = 103794^2 + 138392^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29925540100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1721251 + ... + 1738549.

Almost surely, 2^29925540100 is an apocalyptic number.

29925540100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29925540100 is the 172990-th square number.

It is an amenable number.

29925540100 is an abundant number, since it is smaller than the sum of its proper divisors (35016636017).

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

29925540100 is an frugal number, since it uses more digits than its factorization.

29925540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34612 (or 17306 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

Multiplying 29925540100 by its product of nonzero digits (32400), we get a square (969587499240000 = 31138200²).

It can be divided in two parts, 29925 and 540100, that added together give a square (570025 = 755²).

The spelling of 29925540100 in words is "twenty-nine billion, nine hundred twenty-five million, five hundred forty thousand, one hundred".