| Base | Representation |
|---|---|
| bin | 110010001001110001… |
| … | …0111101000010010000 |
| 3 | 101021222221112012011221 |
| 4 | 1210103202331002100 |
| 5 | 3231033220044100 |
| 6 | 121251102014424 |
| 7 | 10531646564461 |
| oct | 1442342750220 |
| 9 | 337887465157 |
| 10 | 107702112400 |
| 11 | 41749042153 |
| 12 | 18a59277414 |
| 13 | a2054143bc |
| 14 | 52d9d44d68 |
| 15 | 2c054e201a |
| hex | 19138bd090 |
107702112400 has 135 divisors (see below), whose sum is σ = 264047313153. Its totient is φ = 42217075200.
The previous prime is 107702112379. The next prime is 107702112403. The reversal of 107702112400 is 4211207701.
The square root of 107702112400 is 328180.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 13 ways, for example, as 84153368464 + 23548743936 = 290092^2 + 153456^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (107702112403) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 400379466 + ... + 400379734.
Almost surely, 2107702112400 is an apocalyptic number.
107702112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
107702112400 is the 328180-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 107702112400
107702112400 is an abundant number, since it is smaller than the sum of its proper divisors (156345200753).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107702112400 is an frugal number, since it uses more digits than its factorization.
107702112400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 678 (or 337 counting only the distinct ones).
The product of its (nonzero) digits is 784, while the sum is 25.
Multiplying 107702112400 by its sum of digits (25), we get a square (2692552810000 = 16409002).
107702112400 divided by its sum of digits (25) gives a square (4308084496 = 656362).
Multiplying 107702112400 by its product of nonzero digits (784), we get a square (84438456121600 = 91890402).
The spelling of 107702112400 in words is "one hundred seven billion, seven hundred two million, one hundred twelve thousand, four hundred".
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