9801345104100 has 729 divisors, whose sum is σ = 34611075128539. Its totient is φ = 2318228140800.

The previous prime is 9801345104071. The next prime is 9801345104113. The reversal of 9801345104100 is 14015431089.

The square root of 9801345104100 is 3130710.

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

9801345104100 is a `hidden beast` number, since 9 + 8 + 0 + 1 + 34 + 510 + 4 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73832845284 + 9727512258816 = 271722^2 + 3118896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 54756117811 + ... + 54756117989.

Almost surely, 2^{9801345104100} is an apocalyptic number.

9801345104100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9801345104100 is the 3130710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9801345104100

9801345104100 is an abundant number, since it is smaller than the sum of its proper divisors (24809730024439).

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

9801345104100 is a wasteful number, since it uses less digits than its factorization.

9801345104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 9801345104100 by its sum of digits (36), we get a square (352848423747600 = 18784260²).

9801345104100 divided by its sum of digits (36) gives a square (272259586225 = 521785²).

The spelling of 9801345104100 in words is "nine trillion, eight hundred one billion, three hundred forty-five million, one hundred four thousand, one hundred".