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106100047 = 1944912437
BaseRepresentation
bin1100101001011…
…11010101001111
321101122102220101
412110233111033
5204130200142
614310031531
72425556404
oct624572517
9241572811
10106100047
1154988599
122b6485a7
1318c9b1c1
141013c2ab
1594ac0b7
hex652f54f

106100047 has 8 divisors (see below), whose sum is σ = 111942000. Its totient is φ = 100283904.

The previous prime is 106100039. The next prime is 106100083. The reversal of 106100047 is 740001601.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 106100047 - 23 = 106100039 is a prime.

It is a super-2 number, since 2×1061000472 = 22514439946804418, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106099997 and 106100033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106100147) 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, 2313 + ... + 14749.

It is an arithmetic number, because the mean of its divisors is an integer number (13992750).

Almost surely, 2106100047 is an apocalyptic number.

106100047 is a deficient number, since it is larger than the sum of its proper divisors (5841953).

106100047 is a wasteful number, since it uses less digits than its factorization.

106100047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12905.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 106100047 is about 10300.4877069001. The cubic root of 106100047 is about 473.4111968823.

Adding to 106100047 its reverse (740001601), we get a palindrome (846101648).

The spelling of 106100047 in words is "one hundred six million, one hundred thousand, forty-seven".

Divisors: 1 19 449 8531 12437 236303 5584213 106100047