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106430600 = 2352532153
BaseRepresentation
bin1100101100000…
…00000010001000
321102021020100002
412112000002020
5204221234400
614321102132
72431434203
oct626000210
9242236302
10106430600
1155093981
122b787948
13190857b3
14101c693a
159524ed5
hex6580088

106430600 has 24 divisors (see below), whose sum is σ = 247451610. Its totient is φ = 42572160.

The previous prime is 106430593. The next prime is 106430627. The reversal of 106430600 is 6034601.

It can be written as a sum of positive squares in 3 ways, for example, as 60435076 + 45995524 = 7774^2 + 6782^2 .

It is a super-2 number, since 2×1064306002 = 22654945232720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 265877 + ... + 266276.

Almost surely, 2106430600 is an apocalyptic number.

106430600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106430600 is an abundant number, since it is smaller than the sum of its proper divisors (141021010).

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

106430600 is a wasteful number, since it uses less digits than its factorization.

106430600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532169 (or 532160 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 106430600 is about 10316.5207313319. The cubic root of 106430600 is about 473.9023222087.

The spelling of 106430600 in words is "one hundred six million, four hundred thirty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 532153 1064306 2128612 2660765 4257224 5321530 10643060 13303825 21286120 26607650 53215300 106430600