| Base | Representation |
|---|---|
| bin | 1100000001000… |
| … | …01110001000000 |
| 3 | 21000200020210121 |
| 4 | 12000201301000 |
| 5 | 201301122400 |
| 6 | 14000310024 |
| 7 | 2332541134 |
| oct | 600416100 |
| 9 | 230606717 |
| 10 | 100801600 |
| 11 | 51999809 |
| 12 | 29912314 |
| 13 | 17b64623 |
| 14 | d55d3c4 |
| 15 | 8cb221a |
| hex | 6021c40 |
100801600 has 63 divisors (see below), whose sum is σ = 249027061. Its totient is φ = 40160000.
The previous prime is 100801577. The next prime is 100801607. The reversal of 100801600 is 6108001.
The square root of 100801600 is 10040.
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., 36288576 + 64513024 = 6024^2 + 8032^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (100801607) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 401475 + ... + 401725.
Almost surely, 2100801600 is an apocalyptic number.
100801600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
100801600 is the 10040-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100801600
100801600 is an abundant number, since it is smaller than the sum of its proper divisors (148225461).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100801600 is an frugal number, since it uses more digits than its factorization.
100801600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 524 (or 258 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 16.
The cubic root of 100801600 is about 465.3958166758.
Multiplying 100801600 by its sum of digits (16), we get a square (1612825600 = 401602).
100801600 divided by its sum of digits (16) gives a square (6300100 = 25102).
Adding to 100801600 its reverse (6108001), we get a palindrome (106909601).
The spelling of 100801600 in words is "one hundred million, eight hundred one thousand, six hundred".
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