Search a number
-
+
100066300 = 22524332311
BaseRepresentation
bin1011111011011…
…10001111111100
320222021220011021
411331232033330
5201104110200
613532433524
72323356325
oct575561774
9228256137
10100066300
1151537324
12296188a4
1317967a39
14d40b44c
158bb941a
hex5f6e3fc

100066300 has 36 divisors (see below), whose sum is σ = 217739536. Its totient is φ = 39916800.

The previous prime is 100066297. The next prime is 100066303. The reversal of 100066300 is 3660001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100066297) and next prime (100066303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100066303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42145 + ... + 44455.

Almost surely, 2100066300 is an apocalyptic number.

100066300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100066300 is an abundant number, since it is smaller than the sum of its proper divisors (117673236).

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

100066300 is a wasteful number, since it uses less digits than its factorization.

100066300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 100066300 is about 10003.3144507208. The cubic root of 100066300 is about 464.2614398129.

The spelling of 100066300 in words is "one hundred million, sixty-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 433 866 1732 2165 2311 4330 4622 8660 9244 10825 11555 21650 23110 43300 46220 57775 115550 231100 1000663 2001326 4002652 5003315 10006630 20013260 25016575 50033150 100066300