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106303300 = 22521063033
BaseRepresentation
bin1100101011000…
…00111101000100
321102000202201021
412111200331010
5204203201200
614314240524
72430364105
oct625407504
9242022637
10106303300
1155007274
122b726144
131903c87c
14101923ac
1594ec41a
hex6560f44

106303300 has 18 divisors (see below), whose sum is σ = 230678378. Its totient is φ = 42521280.

The previous prime is 106303279. The next prime is 106303321. The reversal of 106303300 is 3303601.

It is an interprime number because it is at equal distance from previous prime (106303279) and next prime (106303321).

It can be written as a sum of positive squares in 3 ways, for example, as 20629764 + 85673536 = 4542^2 + 9256^2 .

It is a super-2 number, since 2×1063033002 = 22600783181780000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 531417 + ... + 531616.

Almost surely, 2106303300 is an apocalyptic number.

106303300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106303300 is an abundant number, since it is smaller than the sum of its proper divisors (124375078).

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

106303300 is a wasteful number, since it uses less digits than its factorization.

106303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063047 (or 1063040 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 106303300 is about 10310.3491696450. The cubic root of 106303300 is about 473.7133044075.

Adding to 106303300 its reverse (3303601), we get a palindrome (109606901).

The spelling of 106303300 in words is "one hundred six million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1063033 2126066 4252132 5315165 10630330 21260660 26575825 53151650 106303300