Search a number
-
+
106210743 = 3315412111
BaseRepresentation
bin1100101010010…
…10010110110111
321101212001202020
412111022112313
5204142220433
614312244223
72426530212
oct625122667
9241761666
10106210743
1154a53781
122b6a0673
13190096c2
141016a779
1594cecb3
hex654a5b7

106210743 has 16 divisors (see below), whose sum is σ = 146522112. Its totient is φ = 68364000.

The previous prime is 106210733. The next prime is 106210763. The reversal of 106210743 is 347012601.

It is not a de Polignac number, because 106210743 - 218 = 105948599 is a prime.

It is a super-2 number, since 2×1062107432 = 22561443857224098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106210723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49258 + ... + 51368.

It is an arithmetic number, because the mean of its divisors is an integer number (9157632).

Almost surely, 2106210743 is an apocalyptic number.

106210743 is a deficient number, since it is larger than the sum of its proper divisors (40311369).

106210743 is a wasteful number, since it uses less digits than its factorization.

106210743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 106210743 is about 10305.8596439113. The cubic root of 106210743 is about 473.5757790007.

It can be divided in two parts, 106210 and 743, that added together give a triangular number (106953 = T462).

The spelling of 106210743 in words is "one hundred six million, two hundred ten thousand, seven hundred forty-three".

Divisors: 1 3 31 93 541 1623 2111 6333 16771 50313 65441 196323 1142051 3426153 35403581 106210743