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106057653 = 3132719427
BaseRepresentation
bin1100101001001…
…00111110110101
321101120021202020
412110210332311
5204122321103
614305103353
72425321662
oct624447665
9241507666
10106057653
1154959759
122b627b59
1318c84b10
141012aa69
15949e753
hex6524fb5

106057653 has 8 divisors (see below), whose sum is σ = 152287968. Its totient is φ = 65266224.

The previous prime is 106057621. The next prime is 106057657. The reversal of 106057653 is 356750601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106057653 - 25 = 106057621 is a prime.

It is a super-2 number, since 2×1060576532 = 22496451519736818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106057657) 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, 1359675 + ... + 1359752.

It is an arithmetic number, because the mean of its divisors is an integer number (19035996).

Almost surely, 2106057653 is an apocalyptic number.

106057653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106057653 is a deficient number, since it is larger than the sum of its proper divisors (46230315).

106057653 is a wasteful number, since it uses less digits than its factorization.

106057653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719443.

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 106057653 is about 10298.4296375710. The cubic root of 106057653 is about 473.3481354339.

The spelling of 106057653 in words is "one hundred six million, fifty-seven thousand, six hundred fifty-three".

Divisors: 1 3 13 39 2719427 8158281 35352551 106057653