Search a number
-
+
106115763 = 3132720917
BaseRepresentation
bin1100101001100…
…11001010110011
321101200020110110
412110303022303
5204131201023
614310232403
72425653255
oct624631263
9241606413
10106115763
1154999386
122b655703
1318ca53c0
1410143cd5
1594b1a93
hex65332b3

106115763 has 8 divisors (see below), whose sum is σ = 152371408. Its totient is φ = 65301984.

The previous prime is 106115753. The next prime is 106115803. The reversal of 106115763 is 367511601.

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

It is not a de Polignac number, because 106115763 - 25 = 106115731 is a prime.

It is a super-2 number, since 2×1061157632 = 22521110314144338, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106115763.

It is not an unprimeable number, because it can be changed into a prime (106115753) 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, 1360420 + ... + 1360497.

It is an arithmetic number, because the mean of its divisors is an integer number (19046426).

Almost surely, 2106115763 is an apocalyptic number.

106115763 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106115763 is a deficient number, since it is larger than the sum of its proper divisors (46255645).

106115763 is a wasteful number, since it uses less digits than its factorization.

106115763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720933.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 106115763 is about 10301.2505551511. The cubic root of 106115763 is about 473.4345703029.

The spelling of 106115763 in words is "one hundred six million, one hundred fifteen thousand, seven hundred sixty-three".

Divisors: 1 3 13 39 2720917 8162751 35371921 106115763