29890952100 has 405 divisors, whose sum is σ = 103848561817. Its totient is φ = 7435653120.

The previous prime is 29890952093. The next prime is 29890952107. The reversal of 29890952100 is 125909892.

The square root of 29890952100 is 172890.

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

It is an interprime number because it is at equal distance from previous prime (29890952093) and next prime (29890952107).

It can be written as a sum of positive squares in 13 ways, for example, as 27500915556 + 2390036544 = 165834^2 + 48888^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29890952107) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 264521644 + ... + 264521756.

Almost surely, 2^29890952100 is an apocalyptic number.

29890952100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29890952100 is the 172890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29890952100

29890952100 is an abundant number, since it is smaller than the sum of its proper divisors (73957609717).

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

29890952100 is a wasteful number, since it uses less digits than its factorization.

29890952100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 29890952100 in words is "twenty-nine billion, eight hundred ninety million, nine hundred fifty-two thousand, one hundred".