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106430620 = 22519792689
BaseRepresentation
bin1100101100000…
…00000010011100
321102021020100211
412112000002130
5204221234440
614321102204
72431434232
oct626000234
9242236324
10106430620
115509399a
122b787964
13190857ca
14101c6952
159524eea
hex658009c

106430620 has 24 divisors (see below), whose sum is σ = 223700400. Its totient is φ = 42534912.

The previous prime is 106430593. The next prime is 106430627. The reversal of 106430620 is 26034601.

It is a super-2 number, since 2×1064306202 = 22654953747168800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106430591 and 106430600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106430627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38236 + ... + 40924.

It is an arithmetic number, because the mean of its divisors is an integer number (9320850).

Almost surely, 2106430620 is an apocalyptic number.

106430620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106430620 is an abundant number, since it is smaller than the sum of its proper divisors (117269780).

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

106430620 is a wasteful number, since it uses less digits than its factorization.

106430620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 106430620 is about 10316.5217006509. The cubic root of 106430620 is about 473.9023518933.

It can be divided in two parts, 1064 and 30620, that added together give a square (31684 = 1782).

The spelling of 106430620 in words is "one hundred six million, four hundred thirty thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 1979 2689 3958 5378 7916 9895 10756 13445 19790 26890 39580 53780 5321531 10643062 21286124 26607655 53215310 106430620