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106100300 = 225210310301
BaseRepresentation
bin1100101001011…
…11011001001100
321101122110020202
412110233121030
5204130202200
614310033032
72425560215
oct624573114
9241573222
10106100300
11549887a9
122b648778
1318c9b357
141013c40c
1594ac1d5
hex652f64c

106100300 has 36 divisors (see below), whose sum is σ = 232495536. Its totient is φ = 42024000.

The previous prime is 106100297. The next prime is 106100339. The reversal of 106100300 is 3001601.

It is a super-2 number, since 2×1061003002 = 22514547320180000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5150 + ... + 15450.

Almost surely, 2106100300 is an apocalyptic number.

106100300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10300×10301.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116247768).

106100300 is an abundant number, since it is smaller than the sum of its proper divisors (126395236).

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

106100300 is a wasteful number, since it uses less digits than its factorization.

106100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 106100300 is about 10300.4999878647. The cubic root of 106100300 is about 473.4115731716.

Adding to 106100300 its reverse (3001601), we get a palindrome (109101901).

The spelling of 106100300 in words is "one hundred six million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 10300 10301 20602 41204 51505 103010 206020 257525 515050 1030100 1061003 2122006 4244012 5305015 10610030 21220060 26525075 53050150 106100300