Search a number
-
+
106310417 = 4114511787
BaseRepresentation
bin1100101011000…
…10101100010001
321102001010110212
412111202230101
5204203413132
614314333505
72430423623
oct625425421
9242033425
10106310417
1155011654
122b72a295
1319042b95
1410194c13
1594ee5b2
hex6562b11

106310417 has 8 divisors (see below), whose sum is σ = 109039392. Its totient is φ = 103588000.

The previous prime is 106310387. The next prime is 106310419. The reversal of 106310417 is 714013601.

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 106310417 - 26 = 106310353 is a prime.

It is a super-2 number, since 2×1063104172 = 22603809525427778, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106310392 and 106310401.

It is not an unprimeable number, because it can be changed into a prime (106310419) 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, 58598 + ... + 60384.

It is an arithmetic number, because the mean of its divisors is an integer number (13629924).

Almost surely, 2106310417 is an apocalyptic number.

It is an amenable number.

106310417 is a deficient number, since it is larger than the sum of its proper divisors (2728975).

106310417 is a wasteful number, since it uses less digits than its factorization.

106310417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 106310417 is about 10310.6943025191. The cubic root of 106310417 is about 473.7238758647.

The spelling of 106310417 in words is "one hundred six million, three hundred ten thousand, four hundred seventeen".

Divisors: 1 41 1451 1787 59491 73267 2592937 106310417