Search a number
-
+
106971831 = 32432631051
BaseRepresentation
bin1100110000001…
…00001010110111
321110021201202200
412120010022313
5204341044311
614340435543
72436150141
oct630041267
9243251680
10106971831
115542357a
122b9a8bb3
1319214c55
14102c7c91
1595d0556
hex66042b7

106971831 has 24 divisors (see below), whose sum is σ = 158860416. Its totient is φ = 69325200.

The previous prime is 106971763. The next prime is 106971833. The reversal of 106971831 is 138179601.

It is not a de Polignac number, because 106971831 - 27 = 106971703 is a prime.

It is a super-2 number, since 2×1069718312 = 22885945254985122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106971833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101256 + ... + 102306.

It is an arithmetic number, because the mean of its divisors is an integer number (6619184).

Almost surely, 2106971831 is an apocalyptic number.

106971831 is a deficient number, since it is larger than the sum of its proper divisors (51888585).

106971831 is a wasteful number, since it uses less digits than its factorization.

106971831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 106971831 is about 10342.7187431545. The cubic root of 106971831 is about 474.7042753910.

It can be divided in two parts, 1069 and 71831, that added together give a square (72900 = 2702).

The spelling of 106971831 in words is "one hundred six million, nine hundred seventy-one thousand, eight hundred thirty-one".

Divisors: 1 3 9 43 129 263 387 789 1051 2367 3153 9459 11309 33927 45193 101781 135579 276413 406737 829239 2487717 11885759 35657277 106971831