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106356353 = 1573172137
BaseRepresentation
bin1100101011011…
…01111010000001
321102010110111012
412111231322001
5204211400403
614315330305
72431004555
oct625557201
9242113435
10106356353
1155043114
122b750995
131905aa6c
14101a7865
15950ced8
hex656de81

106356353 has 8 divisors (see below), whose sum is σ = 107421672. Its totient is φ = 105296256.

The previous prime is 106356307. The next prime is 106356373. The reversal of 106356353 is 353653601.

It can be written as a sum of positive squares in 4 ways, for example, as 7711729 + 98644624 = 2777^2 + 9932^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106356353 is a prime.

It is a super-2 number, since 2×1063563532 = 22623347646921218, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106356373) 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, 48701 + ... + 50837.

It is an arithmetic number, because the mean of its divisors is an integer number (13427709).

Almost surely, 2106356353 is an apocalyptic number.

It is an amenable number.

106356353 is a deficient number, since it is larger than the sum of its proper divisors (1065319).

106356353 is a wasteful number, since it uses less digits than its factorization.

106356353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611.

The product of its (nonzero) digits is 24300, while the sum is 32.

The square root of 106356353 is about 10312.9216519859. The cubic root of 106356353 is about 473.7920969825.

The spelling of 106356353 in words is "one hundred six million, three hundred fifty-six thousand, three hundred fifty-three".

Divisors: 1 157 317 2137 49769 335509 677429 106356353